Question

What is the inverse of the function f(x) = 2x – 10?

Answer 1

The inverse of the function f(x) = 2x - 10 is g(x) = (x + 10) / 2.

Step-by-step explanation:

The inverse of the function f(x) = 2x - 10 can be found by swapping x and y and solving for y. Let's call the inverse function g(x). So, we have y = 2x - 10. Swapping x and y gives x = 2y - 10. Now, let's solve for y:

x = 2y - 10

x + 10 = 2y

y = (x + 10) / 2

Therefore, the inverse function of f(x) = 2x - 10 is g(x) = (x + 10) / 2.

Answer 2

Replace f(x) with y and proceed to make x the subject:
y=2x-10
y+10=2x
y+10/2=x
Now swap y with x and replace the isolated x with f(x), so

`{f}^( - 1)(x) = (y + 10)/(2)`