Question: If f (x) = 3x + 5 and g(x) = x2, find (a) (f + g)(x) (b) (f / g)(x) (c) f(g(x)) (d) (f

If f (x) = 3x + 5 and g(x) = x2, find
(a) (f + g)(x)
(b) (f / g)(x)
(c) f(g(x))
(d) (f ◦ f)(x)

Step by Step Solution

★★★★★

3.34 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

fx 3x 5 gx x 2 a f gx 3x 5 x ... 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

Document Format (1 attachment)

Word file Icon

1386-M-C-L-A-D(2471).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

(a) If g(x) = 2x + 1 and h (x) = 4x2 + 4x + 7, find a function f such that f o g = h. (Think about what operations you would have to perform on the formula for to end up with the formula for h) (b)...

Q:

(a) If g(x) = 2x + 1 and h(x) = 4x2 + 4x + 7, find a function f such that f o g = h. (Think about what operations you would have to perform on the formula for to end up with the formula for h.) (b)...

Q:

Suppose that f(x) = 3x + 5 and g(x) = -2x + 15. (a) Solve f(x) = 0. (b) Solve f(x)

Q:

Use the functions f (x) = 3x - 4 and g (x) = x2 + 2 to find these values. a. f (7) b. g (5) c. f (-5) d. g (-3) e. x when f (x)

Q:

3 11 6 points Find an equation for the given line Please write your equation in slope intercept form 1 7 10 S 2 1 12 8 points Find an equation for a line passing through the point 1 4 and...

Q:

Given the functions f x 3x 5 and g x 6x 9 determine each of the following Give your answers as simplified expressions written in descending order Evaluate f g x f g x Evaluate f g x Evaluate f g x...

Q:

Use f x 3x 5 and g x 2x to evaluate the expressio a f f x b g g x

Q:

For the real-valued functions f (x) =x -5 and g (x) =x-3, find the composition fog and specify its domain using interval notation. ( 1 08 ) (x ) = 1 0lol (0,0) [0,0] OVO (0,0] [0,0) Domain of f g :...

Q:

e) A ball is thrown into the air with an initial velocity of 96 feet per second. Given the formula s(t) = -16t2 + 96t, where t represents the time in seconds and s(t) represents the height of the...

Q:

tutorial section COMP1805-BCM Discrete Structures I Grade / 40 Assignment 3 Due Date: March 10, 2016 Time Due: Before 3:00pm in the drop box in HP 3115 Student Number Student Name Write down your...

Q:

Use the foreign exchange section of a current issue of The Wall Street Journal to look up the three currencies in Problem 19-8. What is the current exchange rate between Swedish kronas and pounds?

Q:

Respond that the following statements are TRUE or FALSE: 1) A production cost report is a part of the financial statements available to the shareholders of a company. 2) A production cost report...

Q:

Deadweight loss occurs in (A) monopolistic competition as P > MC. (B) monopoly markets because P > MC. (C) oligopoly markets because P > MC. (D) All of the above (E) None of the above

Q:

1. given what you have read thus far, can you suggest a few factors that might impede intergenerational mobility?

Q:

Write ln (M N) as a sum involving M and N.

Q:

In Problems, solve each equation. Give answers correct to three decimal places in Problems 112. ln (x + 2) + ln x = ln (x + 12)

Q:

Write log 4 (x 3 + 1) as a base e logarithm using a change-of-base formula.

Q:

Prepare an amortization schedule for a five-year loan of $71,000. The interest rate is 7 percent per year, and the loan calls for equal annual payments. (Do not round intermediate calculations and...

Q:

A firm recently paid a $0.60 annual dividend. The dividend is expected to increase by 12 percent in each of the next four years. In the fourth year, the stock price is expected to be $110. If the...

Q:

You are working on a bid to build two apartment buildings a year for the next three years. This project requires the purchase of $1,089,000 of equipment that will be depreciated using straight-line...