Use switch and solve to find f-1(x)

F(x)= the square root of x-4

Use switch and solve to find f-1(x)

F(x)= the square root of x-4

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Olney, MD

f(x) = (x-4)^{1/2}

y = (x-4)^{1/2}

Switch the x's and y's, solve for the new y:

x = (y-4)^{1/2}

x^{2} = y-4 [Square both sides to get rid of the square root]

Check:

f(f^{-1}(x)) = (f^{-1}(x)-4)^{1/2} = (x^{2}+4-4)^{1/2} = (x^{2})^{1/2} = x Check!

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