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

Question

asked Jun 23, 2021 108k views

1 Answer

Aaron Oommen · Answer 1 · 2021-06-26T21:02:37+0000

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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