Answer:
[tex]f^{-1}(x)=\frac{x^2}{64}[/tex]
Step-by-step explanation:
f(x) = 8√x for x≥0
y = 8√x
To find the inverse you have to replace every x with a y and replace every y with an x .
x = 8√y
[tex]\frac{x}{8} = \sqrt{y} \\\\(\frac{x}{8} )^{2} = (\sqrt{y} )^{2} \\\\\frac{x^2}{8^2} = y\\\\y=\frac{x^2}{64} \\\\f^{-1}(x)=\frac{x^2}{64}[/tex]
