If f (2x-1) = x+2, then what is the value of f⁻¹ (2x-1) ?

Question

Mathematics

Kamora Lynn

15 January, 08:52

If f (2x-1) = x+2, then what is the value of f⁻¹ (2x-1) ?

+3

Answers (1)

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Bernard Nielsen · Answer 1

So F (x+3) = (x+3+5) / 2 = (x+8) / 2

Step-by-step explanation:

Given F (2x-1) = x+2

Put 2x-1 = y=> x = (y+1) / 2

Hence F (y) = (y+1) / 2 + 2 = (y+5) / 2

So F (x) = (x+5) / 2

So F (x+3) = (x+3+5) / 2 = (x+8) / 2.