Question

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

Answer 1

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

Explanation:

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

As the two functions are inverses of each other, they will be symmetrical about the line
`y=x`.

Answer 2

f^-1(x) = (x+10) / 2

Explanation:

sooo

f(x) = 2x - 10

y = 2x - 10

x = 2y - 10

x + 10 = 2y

y = (x + 10) / 2

f^-1(x) = (x+10) / 2