Question

51

What is the inverse of the function f(x) = 2x + 1?
Oh(x) =
1
2x-
o h«x)= kx +
- 3x-2
Oh(x) =
Oh(x) =
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81
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10:49 AM
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mamman

Answer 1

let inverse f(x) be m:

`m = (1)/(2x + 1) \\ 2x + 1 = (1)/(m) \\ 2x = (1 - m)/(m) \\ x = (1 - m)/(2m)`

substitute x in place of m:

`{ \bf{ {f}^( - 1)(x) = (1 - x)/(2x ) }}`