What is the inverse of the function f(x) = 2x – 10? h(x) = 2x - 5 h(x) = 2x + 5 " h(x)=2x-5 o ncx) = {x+5

see explanation

Step-by-step explanation:

let y = f(x) then rearrange making x the subject

y = 2x - 10 ( add 10 to both sides )

y + 10 = 2x ( divide both sides by 2 )

= x

Change y back into terms of x

(x) =

Option C.

Step-by-step explanation:

Consider the below figure attached with this question.

We need to find the input value when f(x)=g(x).

In the given graph red line represents the function f(x) and blue line represents the function g(x).

From the given graph it is cleat that both functions intersect each other at (1.5,1). It means

f(x) = 1 at x=1.5

g(x) = 1 at x=1.5

It means f(x)=g(x)=1 at x=1.5. For input value x=1.5 the statement f(x)=g(x) is true.

Therefore, the correct option is C.