What is the inverse of f(x)=(5x-8)^2 ?

The inverse of f(x)=(5x-8)^2 is (sqrt(x)+8)/5 ,(-sqrt(x)+8)/5

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inverse of f(x)=(5x-8)^2

inverse

f (x) = (5 x - 8)^{2}

\frac{x + 8}{5}, \frac{- x + 8}{5}

Solution steps

y = (5 x - 8)^{2}

Replace

x

with

y

x = (5 y - 8)^{2}

Solve for

y, x = (5 y - 8)^{2}

\frac{x + 8}{5}, \frac{- x + 8}{5}

0.5 x - \frac{2560}{x ^{2}}

(5, 16.5), (14, 17.7)

f (x) = \frac{2 x + 1}{x}

f (x) = x - 1 + 5

y = 11 x + 6

What is the inverse of f(x)=(5x-8)^2 ?
The inverse of f(x)=(5x-8)^2 is (sqrt(x)+8)/5 ,(-sqrt(x)+8)/5