Question: 4 [12 points] Consider f(x) = x2 + 2 and g(x) = vr -1. Find (a) (fog)(1) (b) the domain of fog (c) (fg)(1) (d)

4 [12 points] Consider f(x) = x2 + 2 and g(x) = vr -1. Find (a) (fog)(1) (b) the domain of fog (c) (fg)(1) (d) the domain of fg. (e) (gof)(:) (f) the domain of go f

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!

Seven and eight only thankyouuuu Activity 1. Given the functions f (x) = x2 + 6 and g (x) = 2x - 1, find (f . g) (x). 2. Given the functions f (x) = x2 + 6 and g (x) = 2x - 1, find (f . g) (x). 3....

One, two and three only thankyouu Activity 1. Given the functions f (x) = x2 + 6 and g (x) = 2x - 1, find (f . g) (x). 2. Given the functions f (x) = x2 + 6 and g (x) = 2x - 1, find (f . g) (x). 3....

Four, five and six only thankyouuuu Activity 1. Given the functions f (x) = x2 + 6 and g (x) = 2x - 1, find (f . g) (x). 2. Given the functions f (x) = x2 + 6 and g (x) = 2x - 1, find (f . g) (x). 3....

4 [12 points] Consider f(x) = x2 + 2 and g(x) = vr -1. Find (a) (fog)(1) (b) the domain of fog (c) (fg)(1) (d) the domain of fg. (e) (gof)(:) (f) the domain of go f

On these 8 problems, I've tried many times on each one what it says to do in the textbook but to no avail Given f (x) = x2 + 8x and g (a) = 9 - x2, find f + g, f - g, fg, and Enclose numerators and...

O Graphs and Functions 3/5 Composition of two rational functions X 11 For the functions f (x) = x+ 2 and g (x) = , find the composition fog and simplify your answer as much as possible. Write the...

Find (f g)(x) when f (x) = x2 +8x+15 and g (x)= 5 2 -9 (1 point) o (f g) (x) = 5x + 25 x - 3 o (f g) ( x) = 4 5 x4+16x3+94x2+240x+216 o (f . 8) (x)=. 5x + 25 x +3 o (f . g)(x)= 25 40 + -+15 x# - 18x...

can you help me Find the inverse function of f. State the domain and range of both f and f-1. Sketch both, the functions, and its inverse on the same axes to show the symmetry about the line y = x....

MATH 107 Name:________________________________ Directions: Fill out this answer sheet. Either select the correct answer or fill in the blank. Failure to use this answer sheet will result in an...

A wire that is 16 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. Suppose that the side length (in centimeters) of one...

What is the difference between share of mind and share of heart?

Using an Aging Schedule to Account for Bad Debts Rough Stuff is a distributor of large rocks. It sells on credit to commercial landscaping companies and extends terms that require customers to pay in...

*P3.7 (LO 4, 6) (Retained Earnings Statement, Prior Period Adjustment) The following is the retained earnings account for the year 2025 for Acadian Corp. Retained earnings, January 1, 2025 $257,600...

Background: Design thinking is described by Thomas Lockwood in Design Thinking: Integrating Innovation, Customer Experience, and Brand Value (2010. Alworth Press) as "a tool to imagine future...

Pollution

The fear of making a fool of oneself

4. Develop circular models, with positive and negative feedback loops, for the following situations: (a) In a poor third-world country, the population increase has been very large in the last ten...