Question

The inverse of f(x) = 2x - 10 is f raised to the negative one, of x equals one-half times x plus five

Answer 1

true or false

Answer 2

To find the inverse, do the following steps:
1. Replace f(x) with y
2. Replace x with y and y with x.
3. Solve for y
4. Replace y with \(f^{-1}(x)\)

Answer 3

A second method you can use to verify an inverse is:
If \(f(f^{-1}(x)) = x\) or \(f^{-1}(f(x)) = x\) then they are inverses of each other.

Answer 4

im lost

Answer 5

f(x) = 2x - 10
1. Replace f(x) with y: y = 2x - 10

2. Replace x with y and y with x: x = 2y - 10

3. Solve for y:
x = 2y - 10
Add 10: x + 10 = 2y
divide by 2: x/2 + 5 = y or y = 1/2*x + 5

4. Replace y with f−1(x): \(f^{-1}(x) = \frac 12 x + 5 \)

Answer 6

oh ok