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How do you find the inverse of the function: #f(x)= 6+ sqrt(x+7)#?

1 Answer

Shwetank Mauria

May 9, 2018

Inverse of #f(x)=6+sqrt(x+7)# is #g(x)=(x-6)^2-7#

Explanation:

Let #y=f(x)=6+sqrt(x+7)#

then #sqrt(x+7)=y-6#

and #x+7=(y-6)^2#

and #x=(y-6)^2-7#

Hence, inverse of #f(x)=6+sqrt(x+7)# is #g(x)=(x-6)^2-7#

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