Respuesta :

Answer:

Step-by-step explanation:

f(x) = 2x – 10     let : f(x) = y    you have : y = 2x-10

calculate x : 2x = y+10

x = (1/2)y+10/2

x =  (1/2)y+ 5....(*)

by (*) the inverse is g(x) = (1/2)x+5

The answer is (x+10)/2

What is the inverse of a function?

A function that reverses the outcome of another function is known as a "inverse function" or more commonly as a "anti function." For instance, if f(x) = 21, f-1(x) = -21 will be its inverse function.

The solution to the problem

We have to find the inverse of the function f(x) = 2x-10.

f(x) = 2x - 10, we have to find the inverse of the function which means if we put a value t we would get the output as x, f(t) = x = 2t-10, hence solving the equation 2t-10 = x,

2t = x+10

dividing the equation by 2

t = (x+10)/2.

Hence the inverse of the function f(x) = 2x -10 is (x+10)/2.

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