Answer: C - The value of f(4) is 3. Evaluate expression (x2 − 1)/(2x − 3) for x = 4.(x2 − 1)/(2x − 3) = (42 − 1)/(2 × 4 − 3) = (16 − 1)/(8 − 3) = 15/5 = 3

PracticeQuiz content is free on an ad-supported model.

Unfortunately, we can't support ad blocker usage because of the impact on our servers. If you'd like to continue, please disable your ad blocker and reload page.

Reload page

SAT Prep

Category - Math

Start a Study Session Sign up for Question of the Day

What is the value of f(4) if f(x) = (x² − 1)/(2x − 3)?

Explanation

Answer: C - The value of f(4) is 3. Evaluate expression (x² − 1)/(2x − 3) for x = 4.
(x² − 1)/(2x − 3) = (4² − 1)/(2 × 4 − 3) = (16 − 1)/(8 − 3) = 15/5 = 3

Previous Next

Was this helpful? Upvote!

Start a Study Session Sign up for Question of the Day

Related questions

2 votes

If the radius of a circle is doubled, how many times is the area increased?
2 votes

The Nervous System The most complicated system in the human body is the nervous system. This highly organized system allows bodily processes to be regulated and occur in a regulated fashion, based on the organism’s placement within its environment. The nervous system is comprised of two parts: the central nervous system and the peripheral nervous system. The central nervous system consists of the brain and the spinal cord, the medulla spinalis. The brain and the spinal cord meet at the point of the atlas vertebrae, which is in the general area of the human neck. The peripheral nervous system is comprised of nerves that connect the central nervous system, as well as other tissues throughout the body. Within the nervous tissues, nerve cells are present. These nerve cells have many jobs and work in conjunction with supporting tissues, known as neuroglia. This particular tissue is found exclusively in the brain and the medulla spinalis. Undoubtedly, there remains a vast amount more to know about the nervous system - the most complex system in living organisms.Which of the following statements BEST reflects the relationship between the brain and the spinal cord?
2 votes

The Senses of Insects By Auguste ForelTitle: The World's Greatest Books - Volume 15 - Science I. -Insect Activity and InstinctThis subject is one of great interest, as much from the standpoint of biology as from that of comparative psychology. The very peculiar mechanism of instincts always has its starting-point in sensations. To comprehend this mechanism it is essential to understand thoroughly the organs of sense and their special functions. It is further necessary to study the co-ordination which exists between the action of the different senses, and leads to their intimate connection with the functions of the nerve-centres, that is to say, with the specially instinctive intelligence of insects. The whole question is, therefore, a chapter of comparative psychology, a chapter in which it is necessary to take careful note of every factor, to place oneself, so to speak, on a level with the mind of an insect, and, above all, to avoid the anthropomorphic errors with which works upon the subject are filled. At the same time the other extreme must equally be avoided-"anthropophobia," which at all costs desires to see in every living organism a "machine," forgetting that a "machine" which lives, that is to say, which grows, takes in nutriment, and strikes a balance between income and expenditure, which, in a word, continually reconstructs itself, is not a "machine," but something entirely different. In other words, it is necessary to steer clear of two dangers. We must avoid (1) identifying the mind of an insect with our own, but, above all, (2) imagining that we, with what knowledge we possess, can reconstruct the mind by our chemical and physical laws. On the other hand, we have to recognise the fact that this mind, and the sensory functions which put it on its guard, are derived, just as with our human selves, from the primitive protoplasmic life. This life, so far as it is specialised in the nervous system by nerve irritability and its connections with the muscular system, is manifested under two aspects. These may be likened to two branches of one trunk. (a) Automatic or instinctive activity. This, though perfected by repetition, is definitely inherited. It is uncontrollable and constant in effect, adapted to the circumstances of the special life of the race in question. It is this curious instinctive adaptation-which is so intelligent when it carries out its proper task, so stupid and incapable when diverted to some other purpose-that has deceived so many scientists and philosophers by its insidious analogy with humanly constructed machines. But, automatic as it may appear, instinct is not invariable. In the first place, it presents a racial evolution which of itself alone already demonstrates a certain degree of plasticity from generation to generation. It presents, further, individual variations which are more distinct as it is less deeply fixed by heredity. Thus the divergent instincts of two varieties, e. g. , of insects, present more individual variability and adaptability than do those instincts common to all species of a genus. In short, if we carefully study the behaviour of each individual of a species of insects with a developed brain (as has been done by P. Huber, Lubbock, Wasmann, and myself, among others, for bees, wasps, and ants), we are not long in finding noteworthy differences, especially when we put the instinct under abnormal conditions. We then force the nervous activity of these insects to present a second and plastic aspect, which to a large extent has been hidden from us under their enormously developed instinct. (b) The plastic or adaptive activity is by no means, as has been so often suggested, a derivative of instinct. It is primitive. It is even the fundamental condition of the evolution of life. The living being is distinguished by its power of adaptation; even the amoeba is plastic. But in order that one individual may adapt itself to a host of conditions and possibilities, as is the case with the higher mammals and especially with man, the brain requires an enormous quantity of nerve elements. But this is not the case with the fixed and specialised adaptation of instinct. In secondary automatism, or habit, which we observe in ourselves, it is easy to study how this activity, derived from plastic activity, and ever becoming more prompt, complex, and sure (technical habits), necessitates less and less expenditure of nerve effort. It is very difficult to understand how inherited instinct, hereditary automatism, could have originated from the plastic activities of our ancestors. It seems as if a very slow selection, among individuals best adapted in consequence of fortunate parentage, might perhaps account for it. To sum up, every animal possesses two kinds of activity in varying degrees, sometimes one, sometimes the other predominating. In the lowest beings they are both rudimentary. In insects, special automatic activity reaches the summit of development and predominance; in man, on the contrary, with his great brain development, plastic activity is elevated to an extraordinary height, above all by language, and before all by written language, which substitutes graphic fixation for secondary automatism, and allows the accumulation outside the brain of the knowledge of past generations, thus serving his plastic activity, at once the adapter and combiner of what the past has bequeathed to it.As noted in the sixth paragraph, insects have more “individual variability.” What does this MOST LIKELY mean?

Most popular on PracticeQuiz

157 votes

An 8-year-old boy named Albert has a 10-year-old brother named Benny. Benny joins the service at 20 leaving Albert feeling bitter that he no longer has a brother to look up to. After 7 years, Albert is finally ready to make up with Benny who has been out of the service for 5 years. How old is Albert now? GED Exam Prep: Math
120 votes

The lymphatic system contains four organs: Medical Coding Exam Prep
79 votes

Using motivation from ‘within’ is called ______________. CPCE Exam Prep
73 votes

“A set of specialized organizational capabilities for providing value to customers in the form of services” is the official definition of: IT Service Management Foundation Practice Test
72 votes

Which are the most serious adverse effects associated with Lithium? MACE Medication Assistant Exam Prep

Ad-Blocker not supported

SAT Prep

Top questions

Related questions

Most popular on PracticeQuiz