Posted by **Jo** on Sunday, March 6, 2011 at 12:48pm.

determine if the given function is one-to-one. if it is, find the inverse.

f(x) = 8x - 4

A) f-1(x) = x+4 / 8

B) f-1(x) = x-4 / 8

C) Not one-to-one

D) f-1(x) = x/8 + 4

- Math -
**MathMate**, Sunday, March 6, 2011 at 1:01pm
All functions that are strictly increasing or decreasing in its domain are one-to-one.

Since the given function has a constant positive slope, it is strictly increasing over ℝ, so it is one-to-one.

The inverse can be found as follows:

1. interchange x and y to get

from f(x) = y = 8x - 4

to

x=8y-4

2. Solve for y in terms of x:

8y=x+4

y=(x+4)/8

Now there is sufficient information to find the correct answer.

## Answer This Question

## Related Questions

- Algebra Help Inverse One-to-one - Did I do this right? Problem: If the ...
- Algebra-One to one function - Could you please check my answers and help me with...
- College math - Determine whether the following function is a one-to-one function...
- College math - Determine whether the following function is a one-to-one function...
- College math - Determine whether the following function is a one-to-one function...
- Math - Find inverse of f if f(x)= x^2-4x+3, (for x is smaller than and equal to ...
- Math - Determine whether the function is one-to-one. If it is, find itd inverse...
- Pre-Calculus - The function f(x)= x^4 is not one-to-one. Find a suitable ...
- MATH PLEASE HELP - Given: Let f: X -> Y be a function. Then we have an ...
- Math: Intro to Proofs - Given: Let f: X -> Y be a function. Then we have an ...

More Related Questions