What is the inverse of f(x)=(5x-4)^2+2 ?

The inverse of f(x)=(5x-4)^2+2 is (sqrt(x-2)+4)/5 ,(-sqrt(x-2)+4)/5

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inverse of f(x)=(5x-4)^2+2

inverse

f (x) = (5 x - 4)^{2} + 2

\frac{x - 2 + 4}{5}, \frac{- x - 2 + 4}{5}

Solution steps

y = (5 x - 4)^{2} + 2

Replace

x

with

y

x = (5 y - 4)^{2} + 2

Solve for

y, x = (5 y - 4)^{2} + 2

\frac{x - 2 + 4}{5}, \frac{- x - 2 + 4}{5}

What is the inverse of f(x)=(5x-4)^2+2 ?
The inverse of f(x)=(5x-4)^2+2 is (sqrt(x-2)+4)/5 ,(-sqrt(x-2)+4)/5