Question: If f(x) = 3x and g(x) = x + 5, find (f g) -1 (x) and (g -1 f -1 )(x).

If f(x) = 3x and g(x) = x + 5, find (f ° g)-1(x) and (g-1 ° f -1)(x).

Step by Step Solution

★★★★★

3.27 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

fogx3x5 3x15 y 3x15 x 3y 1... View full answer

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 College Algebra Graphs And Models Questions!

Q:

Identify the primary characteristics of each form of legal business organization.

Q:

Find the functions f o g, g o f, f o f, and g o g and their domains. 35. f(x) = 2x - x. g(x) = 3x + 2 %3D %3D 36. f(x) = 1- x', g(x) = 1/x 37. f(x) = sin x. g(x) = 1- V %3D 38. f(x) = 1 - 3x. g(x) =...

Q:

If g = Af, find g for each of these choices of A and f. (a) A= d/dx and f = cos(x2 + 1); (b) A= 5 and f = sin x; (c) A = ( )2 and f = sin x; (d) A = exp. and f = ln x; (e) A = d2/dx2 and f = ln(3x);...

Q:

1. For the piecewise function below, find the specified function values. ? 5 x ? 8 , f o r x 4 F i n d f ( ? 4 ) , f ( ? 2 ) , f (...

Q:

What would a and b be Suppose that the functions f and g are defined as follows. f (x) = (3+x) (1+x) g (x) = 4+8x (a) Find (2 ) ( - 6 ). (b) Find all values that are NOT in the domain of g If there...

Q:

For f x x and g x 6x 5 find the following composite functions and state the domain of e a fog b gof c fof d gog a fog x 6x 5 Simplify your answer Select the correct choice below and fill in any...

Q:

Problems 7988. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. Given...

Q:

For the given functions f x x and g x x 5 find a fog x b gof x c fof x d gog x a fog x b gof x c fof x d gog x Simplify your answer Do not factor Simplify your answer Do not factor Simplify your...

Q:

For f x x and g x 6x 5 find the fo a fog b gof c fof For f(x) = and g(x) = 6x + 5, find the f (c) fof (b) gof (a) fog

Q:

please help! AP Calculus Practice (3.1-3.3) For each of the following functions, find the derivative. For each derivative, determine all values for which the derivative does not exist. For each of...

Q:

Consider the following functions f x 3x 5 g x 2x 1 Find f g x Find the domain of f g x Enter your answer using interval notation Find g f x Find the domain of g f x Enter your answer using interval...

Q:

Mr. Lee, clinic director claims that through new procedures he has reduced patient waiting time from present 55 minutes. Before implementing his procedures nationwide, the clinic owner, Ms. Groetken,...

Q:

An experiment is designed to compare the effects of glucose and sucrose on the osmotic potential of a model cell. Two dialysis bags are used, one filled with a solution of 5% by mass glucose and the...

Q:

Swap your answer with a partner. Do the following to assess your partner's summary. a Count the number of sentences. b Check that they are all sentences. (Do they all have verbs? Do they all make...

Q:

=+where u is the distribution corresponding to F (positive and continuous). Hint: First check H = (-0, x].

Q:

Complete the following. (a) Sketch a graph of f. (b) Determine if f is continuous on its domain. (c) Solve f(x) = 0. f(x) = (2x + 1 1-x if-2 x0 if 0

Q:

Complete the following. (a) Sketch a graph of f. (b) Determine if f is continuous on its domain. (c) Solve f(x) = 0. f(x) = x+1 if -2 = x

Q:

Evaluate f(x) at the given values of x. x = 1975, 1980, and 1998 f(x) = 0.2(x - 1970) + 60 190 - (x - 1980) 2(x - 1990) + 100 if 1970 x

Q:

Fill in the blanks for each of the following independent scenarios (A-D). Do not enter dollar signs or commas in the input boxes. Round all answers to the nearest whole number

Q:

Provincial Inc. reported the following before-tax income statement items: Operating income $500,000 Extraordinary loss 94,000 Extraordinary gain 44,000 Provincial has a 25% income tax rate....

Q:

Danner Inc. has a $451,000 capital loss carryover that will expire at the end of the current tax year if it is not used. Also, Danner Inc. has been a general partner in the Talisman Partnership for...