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Question 757297: If f(x)= x^2 + 7, what is the equation for f^-1(x)?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If f(x)= x^2 + 7, what is the equation for f^-1(x)?
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Notice that x is 1st of all squared, then 7 is added.
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The inverse requires that you reverse the process:
1st you subtract 7 ; then you take the square root.
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Ans: f^-1(x) = sqrt(x-7)
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Process:
1st interchange x and y to get:
x = y^2 + 7
2nd solve for "y":
y^2 = x-7
f^-1(x) = sqrt(x-7)
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cheers,
Stan H.
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