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

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1 Answer

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
 
x2 = y-4            [Square both sides to get rid of the square root]
 
x2+4 = y = f-1(x)
 
Check:
 
f(f-1(x)) = (f-1(x)-4)1/2 = (x2+4-4)1/2 = (x2)1/2 = x         Check!