How do you find the inverse of #y = x^2 + 9#?

1 Answer
Daniel L.
Mar 22, 2018

See explanation.

Explanation:

To find an inverse function you have to solve the function equation for the independent variable (usually #x#).

Here you would get:

#y=x^2+9# - first you can subtract #93 from both sides

#y-9=x^2# - next you have to take square root of both sides:

#x=sqrt(y-9)# - now we can write the inverse function returning to the conventional variable naming #x# as the independent variable and #y# as the function value.

Answer:

The inverse function is: #y=sqrt(x-9)#.

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