What is the inverse of f(x)=13+sqrt(5x-5) ?

The inverse of f(x)=13+sqrt(5x-5) is (x^2-26x+174)/5

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inverse of f(x)=13+sqrt(5x-5)

inverse

f (x) = 13 + 5 x - 5

\frac{x ^{2} - 26 x + 174}{5}

Solution steps

y = 13 + 5 x - 5

Replace

x

with

y

x = 13 + 5 y - 5

Solve for

y, x = 13 + 5 y - 5

\frac{x ^{2} - 26 x + 174}{5}

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

f (x) = 3 - 2^{2 - x}

f (x) = 1 + x^{2}

f (x) = \frac{5 x}{x - 4}

f (x) = \frac{2 - x ^{2}}{7}

What is the inverse of f(x)=13+sqrt(5x-5) ?
The inverse of f(x)=13+sqrt(5x-5) is (x^2-26x+174)/5