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

Question

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

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Verity 3 years 2021-08-04T05:14:46+00:00 1 Answers 12 views 0

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    2021-08-04T05:16:20+00:00

    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 )

    \frac{y+10}{2} = x

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

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

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