Question

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

Answer 1

f(x) = 2x - 10 If you don't understand I left a picture:)
y= 2x - 10


x= 2y - 10
2y = x + 10 _1
y= 1/2x + 5 f (x) = 1/2x +5

Answer 2

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

Explanation:

Given : f(x)=2x-10.

To find : what is the inverse of the function .

Solution : We have given f(x)=2x-10.

Step 1 : y = 2x - 10 .

Step 2 : Inter change the x and y.

x = 2y -10 .

Step 3 : Solve for y .

On adding both sides by 10

x + 10 = 2y .

On dividing both sides by 2 .

y =
`(x+10)/(2)`.

y is the inverse of f(x) .

y =
`f(x)^(-1)`.

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