Jayjaylynn
Jayjaylynn Jayjaylynn
  • 10-07-2016
  • Mathematics
contestada

F(x)= sqrt x-5
Find f-1

Fx sqrt x5 Find f1 class=

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sarumanplaysguitar
sarumanplaysguitar sarumanplaysguitar
  • 10-07-2016
The answer is the first option, [tex]f\textsuperscript{-1}(x)=x^2+5; y \geq 5.[/tex]

When finding the inverse of a function, first replace [tex]f(x)[/tex] with [tex]y[/tex], and interchange the variables.

[tex]f(x)= \sqrt{x-5} \\ y= \sqrt{x-5} \\ x= \sqrt{y-5}[/tex]

Then, solve the equation for y. This will give you the inverse function.
[tex]x= \sqrt{y-5} \\ x^2 = y-5 \\ y = x^2+5 \\ f\textsuperscript{-1}(x)=x^2+5[/tex]
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