BigCow96 BigCow96
  • 18-09-2020
  • Mathematics
contestada

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

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Cytokine
Cytokine Cytokine
  • 18-09-2020

f(x) = 2x + 1

Replace f(x) with y

y = 2x + 1

Switch x with y and y with x.

x = 2y + 1

Now solve for y. Subtract 1 from both sides.

x - 1 = 2y

Divide both sides by 2

(x - 1) / 2 = y

Replace y with f^-1(x)

f^-1(x) = (x - 1) / 2 is the inverse

Answer Link
meredith48034
meredith48034 meredith48034
  • 18-09-2020

Answer:

Step-by-step explanation:

y = 2x + 1

x = 2y + 1

2y + 1 = x

2y = x - 1

y = x/2 - 1/2

f^-1(x) = x/2 - 1/2

Answer Link

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