Asked Feb 20, 2019

The function f(x) = 9/4+x is one to one
a. Find its inverse and check your answer
b. Find the domain and the range of f and f^-1


Expert Answer

Step 1

Known Fact:

Procedure for finding the inverse of a one-to-one function:

  1. Replace f(x) with y.
  2. Interchange x and y.
  3. Solve this equation for y. The resulting equation is f^-1 (x).

Domain and range of f and f ^-1:

The inverse function interchanges the domain and range. Namely, Domain of f = Range of f ^-1 Range of f = Domain of f ^−1.

Property of inverse functions:

Let f be a one-to-one function with domain A and range B. The inverse function f ^1 satisfies f ^-1 (f(x)) = x for every x in A and f(f ^-1 (x)) = x for every x in B.

Step 2



Use the above procedure and obtain the inverse of the function f(x) =9/4+x.

Step 3

Further simplif...


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in




Related Algebra Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .

A: Click to see the answer


Q: A and B are sets of real numbers defined as follows. 4 = {x | x > 3} Bx|x5 Write A n B and A UB usin...

A: Click to see the answer


Q: The midpoint of PQ is M (4, -3). One endpoint is P Find the coordinates of the other endpoint, Q. (7...

A: The given system is,


Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: Click to see the answer


Q: 50) Use the graph of f(x) shown for the following: a) Identify x values where: f(xs undefined f(x)=0...

A: a) It is clear from graph, if x approaches 1 from left , f(x) approaches -infinity and if x approach...


Q: Solve the system of equations by the substitution method. 2 3 y = 7xt 7 5 y = X7 Select the correct ...

A: Given:The system of equations is


Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (9,5), -...

A: Consider the receiving stations:


Q: Use the graph of y f(x) to graph the function g(x)=f(x + 4) Choose the correct graph of g below y fx...

A: Refer to the question, with the use of the provided graph of y = f(X) we have to find the graph of t...


Q: Word Problems: 1) The Golden Gate Bridge in San Francisco is 2604 feet longer than the Brooklyn Brid...

A: 1.Let the height of Brooklyn bridge be x.Let the height of Golden Gate bridge be y.