What is the inverse of f(x)=8sqrt(x),x>= 0 ?

The inverse of f(x)=8sqrt(x),x>= 0 is (x^2)/(64)

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inverse of f(x)=8sqrt(x),x>= 0

inverse

f (x) = 8 x, x \geq 0

\frac{x ^{2}}{64}

Solution steps

y = 8 x

Replace

x

with

y

x = 8 y

Solve for

y, x = 8 y

\frac{x ^{2}}{64}

f (x) = (\frac{1}{5})

4 x - 1 = 3 y + 5

f (x) = \frac{5}{( \frac{x}{x + 5} )}

\frac{1}{x} + 2

f (x) = x^{4} - 162 x^{2} + 6561

What is the inverse of f(x)=8sqrt(x),x>= 0 ?
The inverse of f(x)=8sqrt(x),x>= 0 is (x^2)/(64)