jossslin0625 jossslin0625
  • 23-05-2020
  • Mathematics
contestada

For the function f(x) = (x-3)1/2, find f^-1(x)

For the function fx x312 find f1x class=

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19allenethm
19allenethm 19allenethm
  • 23-05-2020

Answer:

[tex]f^{-1}(x)=x^2+3[/tex]

Step-by-step explanation:

We begin with the function [tex]f(x)=(x-3)^{\frac{1}{2} }[/tex]

The first thing we must do is swap the locations of f(x) and x. For the sake of simplicity, lets replace f(x) with y.

[tex]x=(y-3)^{\frac{1}{2} }[/tex]

Now, we just need to solve for y

[tex]x=(y-3)^{\frac{1}{2} } \\\\x^{2} =y-3\\\\y=x^2+3\\\\f^{-1}(x)=x^2+3[/tex]

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