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.

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