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What is the inverse of the function f(x) = 2x + 1?
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What is the inverse of the function f(x) = 2x + 1?
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Mathematics
3 years
2021-08-28T11:30:20+00:00
2021-08-28T11:30:20+00:00 2 Answers
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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
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