Question: Verify that f ( x ) and g ( x ) are inverses if f ( x ) = 1 6 - x ^ (

Verify that f(x) and g(x) are inverses if
f(x)=16-x^(2) and g(x)=\sqrt(16-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:

Big10Sweaters.com is a new company started last year by two recent college graduates. The idea behind the company was simple. They will sell premium logo sweaters for Big Ten colleges with one major,...

Q:

If f x and g x are inverses why is f g x x Because any value of x will make both equations true Because f x and g x have corresponding operations that are inverses of each other which cancels each...

Q:

Given that f (x) and g (x) are inverses, and domain of f (x) is the set D, and range of f (x) is the set Ry. What is the output of composite function fog (8)? What is the range of g (x)? Edit View...

Q:

Use the properties of inverses to determine whether f and g are inverses f x 4 g x log 4x Are the functions f and g inverses OA Yes because fog x gof x x OB No because at least one of f o g x or go f...

Q:

Graph the following piecewise functions (2x - 5, x 3 (3 pts. ) - 4 , 8 . y = 1 (x+ 3) 2, x > -3 (3 pts ) f ( 1 ) = (1 pts) f ( -3 ) = (1 pts) f (3) = (1 pts) f (0 ) = (1 pts) Use composition to...

Q:

Pls help answer these 20. Given f(x) =- -6.x+8 8x - 3 a. Find f-1(x). b. State the domain and range of both f and f-1 (4 pts) (2 pts each) D: D: R . R : For 21, confirm that f and g are inverses by...

Q:

processes? Explain. 2. Consider two functions f (x) and g (x), and such that f (x) = g(x). (10 points) Must it also be true that g (x) = f(x)? Why or why not? As a hint, consider how the domains and...

Q:

2. Consider two functions f (x) and g (x), and such that f (x) = g(x). (10 points) Must it also be true that g (x) = f(x)? Why or why not? As a hint, consider how the domains and ranges of functions...

Q:

3. Find at least one point at which each function is not continuous and state which of the three conditions in the definition of continuity is violated at that point. (a) x + 5 x 3 (b) x 2 + x 6 x 2...

Q:

230 MATHEMATICS Proof Let fand g be two functions such that d or or Rationalised 2023 24 f dx 10x dx fx 0x dx 0 Hence f x dx g x dx C where C is any real number Why f x dx fg x dx C So the families...

Q:

\fGiven the functions: f (x) = -6x g (x) = x+7 hx = x- 2 Evaluate the function (h.g) (3) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined" if...

Q:

Gallaudet University offers a liberal education and career development for deaf and hard-of-hearing students. A researcher sent surveys to 334 alumni who had graduated from Gallaudet between December...

Q:

.A company invests in a project that delivers annual payments of $100 forever! The payments start three years (t=3) from today. Use 5% discount rate. The timeline of the projected cash flows is as...

Q:

A two - office firm, with one office in Rapid City, SD , and another in Lansing, M 1 , has an audit cllient that sells medical equipment. The lead audit partner for this client conducts the...

Q:

What are some food related health care issues that inner cities are more likely to see than more affluent areas? Why are certain areas most likely to experience inadequate healthy food options than...