Question

What is the inverse of the function f(x) = 2x+ 1?

A. h(x) = 1/2x -1/2
B. h(x) = 1/2x + 1/2
C. h(x) = 1/2x - 2
D. h(x) = 1/2x + 2

Answer 1

`f(x) = 2x + 1`

`y = 2x + 1`

Subtract sides -1

`y - 1 = 2x + 1 - 1`

`y - 1 = 2x`

`2x = y - 1`

Divided sides 2

`(2)/(2)x = (y - 1)/(2) \\`

`x = (1)/(2)y - (1)/(2) \\`

Thus ;

`{f}^( - 1) = h(x) = (1)/(2)x - (1)/(2) \\`

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So the correct answer is (( A )) .

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