Question: If h is the function given by h(x) = f(g(x)), where f(x)=3x 2 -1 and g(x)=|x|, then h(x) =

If h is the function given by h(x) = f(g(x)), where f(x)=3x2-1 and g(x)=|x|, then h(x) =

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Please help me with question #6 Let f (x) - 5x and g (x) = e- + I. If h is the function defined by h (x) = f (g (x)), which of the following gives a correct expression for h (I) ? A 20(9(I))3- 20(2 4...

Q:

Hello! I am doing homework and need to know, what is the algebra way of doing this? If anyone could provide an explanation and answer it would be appreciated. THANK YOU TUTORS FOR YOUR HELP A pebble...

Q:

Suppose h x For each function f x below find a function g x so that h x f g x a f x 3x g x b f x 4 X g x 6 x 12 c f x 45 6 x 5

Q:

Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers a for which f (@) is a real number. -3 -2 -1 1 f (x) -3 -2 f' (x) -1 The table above gives values...

Q:

4 2 A 14 Graph of g 2 A continuous function g is defined on the closed interval 8 5x5 6 The graph of g shown above consists of three line segments and a quarter of a circle centered at the point 0 2...

Q:

Directions Complete the following 2 FRQ problems They each have 4 parts a d associated with them and each are out of 9 points total 1 Particle A is moving along the x axis Let f be the continuous...

Q:

4 Given g x notation 5 The graphs of two functions are shown Evaluate each function at its given value of x f g 3 a b 2 5 x and h x x 4 find goh x and write its domain in interval 2 c gof 1 d fog 0...

Q:

Find the difference quotient f x h f x h for the function given below f x 6x 6 Give a simplified expression involving x and h if necessary For example if you found that the difference quotient was x...

Q:

The Area Function 2. Let f (1) = 21 + 2 for all t. (8) Using geometry, compute fo f (1) di. (b) Similarly, compute fo f (1) di. (c) Using your answers to parts (a) and (b) as a guide, compute fo f...

Q:

Q #1 4. [0.82/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.2.008.5. You are the foreman of the Bar- cattle ranch In Colorado. A neighboring ranch has calves for sale, and you are going to buy...

Q:

One type of feedwater heater for preheating the water before entering a boiler operates on the principle of mixing the water with steam that has been bled from the turbine. For the states as shown in...

Q:

Make a list of 10 resources that could help service organisations embrace and respond to diversity.

Q:

If f ( x ) = ( 2 x 2 2 ) ( 2 x + 3 ) , find f ' ( x ) . f ' ( x ) =

Q:

REVIEW THE INFORMATION ABOUT LEAPFROG HOSPITAL SAFETY GRADES. CHOOSE TWO HOSPITALS TO COMPARE A VERY EFFECTIVE ONE AND ONE WHICH IS NOT EFFECTIVE. WHAT SEPARATES THE TWO? HOW CAN THE A HOSPITAL USE...

Q:

4. Achieve our positive goals (1 and 3 are motivated by avoiding the negative, while 2 and 4 are motivated by the positive). b. Initiative: When I communicate with others, I think it is very...

Q:

18. In the statements below, put a cross for the statement you feel characterizes yourself best when you communicate with others. Its not necessarily the way you know you should communicate, but the...

Q:

10. What activities in your life best express the value you want others to associate with you?