natalia0561
Answered

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What is the inverse of the function f(x) = 2x - 10? A-. h(x) = 2x-5
B-. h(x) = 2x+5
C -. h(x) = 1/2x-5
D-. h(x) = 1/2x+5

need answer fast please​

Sagot :

Answer:

D

Step-by-step explanation:

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

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

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

[tex]\frac{y+10}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+10}{2}[/tex] = [tex]\frac{1}{2}[/tex] x + 5 → D

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