What is the inverse of the function f(x) = 2x - 10?
oh(x) = 2х – 5
oh(x) = 2х + 5
h(x) = -
-
ch(x) =-

h(x) = x/2 + 5

Step-by-step explanation:

f(x) = 2x - 10

Step 1. Replace f(x) with y.

y = 2x - 10

Step 2. Switch variables x and y.

x = 2y - 10

Step 3. Solve for y.

2y - 10 = x

2y = x + 10

y = x/2 + 5

Step 4. Replace y with h(x)

h(x) = x/2 + 5

For this case we must find the inverse of the following function:

For it:

We change by y:

We exchange the variables:

We clear the value of the variable "and":

We change y for: