What is the inverse of f(x)=12+sqrt(5x-5) ?

The inverse of f(x)=12+sqrt(5x-5) is (x^2-24x+149)/5

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inverse of f(x)=12+sqrt(5x-5)

inverse

f (x) = 12 + 5 x - 5

\frac{x ^{2} - 24 x + 149}{5}

Solution steps

y = 12 + 5 x - 5

Replace

x

with

y

x = 12 + 5 y - 5

Solve for

y, x = 12 + 5 y - 5

\frac{x ^{2} - 24 x + 149}{5}

f (x) = \frac{x}{3 x + 5}

f (x) = 600 - 2 x^{2}

f (x) = 259963 \cdot x^{2} - 1178 \cdot x + 1304.5

ln (x + 5) - 2

f (x) = 2 e^{- 2 x}

What is the inverse of f(x)=12+sqrt(5x-5) ?
The inverse of f(x)=12+sqrt(5x-5) is (x^2-24x+149)/5