Question

The inverse of f(x)=2x-10

Answer 1

The inverse of the function f(x) = 2x - 10 is f-1(x) would be x/2 + 5.

Lets try to solve it,

We will be using the inverse function to solve this.

f(x) =$2x - 10$

Replace f(x) with y.

$y = 2x - 10$

Interchange x and y

$x = 2y - 10$

Solve for y

$y = (x + 10) / 2$

Replace y with f-1(x).

$f-1(x) = x/2 + 5$

Thus, the inverse of the function f(x) = 2x - 10 is f-1(x) = x/2 + 5

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