Question: 1. Let f ( x ) = 7 x 4 and g ( x ) = x 2 + x . Find the following: (

1.

Let f(x) = 7x 4

and g(x) = x2 + x.

Find the following:

(g f)(x)

2.Let f(x) = 3x + 1

and g(x) = x2 1.

Find the following:

(g f)(2)

3.Let f(x) = 3x 5

and g(x) = x2 + x.

Find the following:

(f g)(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:

2. Let f ( x) = 7 x + 3 and g (x) = 4x-5. Find ( f + 9) (x) ( f t g ) ( x ) , (fg ) ( x ) , and ( a ) ( x ) . Give the comain of each Simplify your answer ( f + g ) ( x ( f - q ) (x ) = fa) (x ) = g...

Q:

1. Let f (x) = 3 - 0.5v2x + 4. a) Find the domain & Range of f (x) by describing every transformation in word form, graph and algebraically form. [K=4 A=4 C=4] Tip:- Transformation from...

Q:

Hello I need help on part b and will need someone to please verify if number 1 is correct? I need to show work on it and please be clear when writing problems please. Thank you. 1. Let f (x) =x2...

Q:

Example 6: Given f (x) = x x +4 and g (x) = - = , find and simplify (f . g ) (x) and its domain

Q:

Let f x 5x 2x 4 and g x 4x 5 After simplifying g x Let f@) = 5c2 + 2c + 4 and g(c) After simplifying,

Q:

1. Let f ( x ) = 1 5 x +7 a) Find f 1 ( x ) . b) Graph f and f 1 . c) Evaluate df dx at x = 1 and df 1 dx at x = f ( 1) to show that at these points df 1 dx = 1 df dx . 2. Let f ( x ) = x 3 3 x 2 1,...

Q:

Answer: Answer: 1'13 # 1 Let f (x) = 2(x + 3) and let g(x) be the # The function / (x) is an increasing inverse of f (x). Find g'(5). function about which little else is known other than f (2) = 7...

Q:

1) Let f (x) = x2 + 1 and g(x) = x + 2 are relations on the set of real numbers. (a) Decide whether f(x) and g(x) are function, if so, state whether they are injection, surjection or bijection. (4...

Q:

1) Let f (x) = x2 + 1 and g(x) = x + 2 are relations on the set of real numbers. (a) Decide whether f(x) and g(x) are function, if so, state whether they are injection, surjection or bijection. (4...

Q:

1. Let f (x) = *- 5 x2+4 , find the following: A. f (2) B. f (3.5) C. f(a + 1) D. f ( Va) E. f (a2) F. f(a) + f(1) 2. Let f (x) = - x+1 and g (x) = Vx - 1. Find the following: A. A1) + g(1) B. f...

Q:

Construct a balance-of-payments table for Japan for the year 2006 which is comparable in format to Exhibit 3.1, and interpret the numerical data. You may consult International Financial Statistics...

Q:

Applying the effective interest method using the historical market interest rate gives a constant amount of interest expense on bonds each period. Do you agree? If not, how would you change the...

Q:

Morris Manufacturing is allocating $90,000 in inspection costs to its two suppliers using the number of inspections as the activity driver. Supplier X: 15 inspections - Supplier Y: 45 inspections How...

Q:

Use the following in-class exercise (i copied from the slide 4 of Lecture Note 7) to answer all questions in this test. . As the finance manager of a company, you are presented with the following...