Question

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

GO
h(x) = 2x-5
h(x) = 2x + 5
h(x) =1/2x-5
h(x) =1/2x+5

Answer 1

`h(x) = (1)/(2) x+ 5`

Explanation:

To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:

y = 2x - 10

Switch positions:

x = 2y - 10

Add '10' to both sides to begin simplifying:

x + 10 = 2y

Divide both sides by 2:

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

This can be rewritten as:

`y = (1)/(2) x+ 5`

Therefore, the inverse of the function is:

`h(x) = (1)/(2) x+ 5`