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03-06-2021
Mathematics

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

H(x) = 1/2x - 1/2
H(x) = 1/2x + 1/2
H(x) = 1/2 x - 2
H(x) = 1/2 x + 2

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03-06-2021

Inverse Of Functions

I use a certain way to find the inverse of a function.

Replace H(x) with y.

y=2x+1

Replace y and x.

x=2y+1

Find y.

x-1=2y

Divide both sides by two.

x-1/2=y

The Answer Is

[tex]h^{ - 1} (x) = \frac{x - 1}{2} [/tex]

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