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Orlov [11]
3 years ago
6

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

Mathematics
2 answers:
Marina CMI [18]3 years ago
5 0

Answer:

\displaystyle f^{-1}(x)= \frac{1}{2}x - \frac{1}{2}

Step-by-step explanation:

f(x) = 2x + 1

f(x) = y (output)

y = 2x + 1

Solve for x.

y - 1 = 2x

Divide 2 on both sides.

y/2 - 1/2 = x

1/2y - 1/2 = x

Switch variables.

1/2x - 1/2 = y

f^{-1}(x)= \frac{1}{2}x - \frac{1}{2}

BaLLatris [955]3 years ago
3 0

Answer:

f^{-1} = \frac{x-1}{2}

Step-by-step explanation:

f(x) = 2x+1

<em>Replace it with y</em>

y = 2x+1

<em>Exchange the values of  x and y</em>

x = 2y+1

<em>Solve for y</em>

x = 2y+1

<em>Subtracting 1 from both sides</em>

2y = x-1

<em>Dividing both sides by 2</em>

y = \frac{x-1}{2}

<em>Replace it by </em>f^{-1}

So,

f^{-1} = \frac{x-1}{2}

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