Question

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

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

Answer 1

Answer: h(x)=(1/2)x+5 of (x/2)+5

Step-by-step explanation: To solve for the inverse of a function, we simply replace all the Xs with Ys and Ys with Xs. This may sound confusing at first but I will explain.

We are given the function f(x) = 2x-10. This can be rewritten as y=2x-10. We replace the y with x and the x in 2x with y. This gives us x = 2y-10. Remember, we need to isolate y to get a function in slope-intercept form. All the answer choices are in slope-intercept form (y=mx+b).

x = 2y-10

x + 10 = 2y

(x + 10)/2 = y

(1/2)x + 5 = y

This gives us the equation y = (1/2)x + 5. We can replace y with h(x) to represent a function.

We are left with the function h(x)=x/2+5

Hope this helps!