What is the inverse of f(x)=9+sqrt(5x-7) ?

The inverse of f(x)=9+sqrt(5x-7) is (x^2-18x+88)/5

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inverse of f(x)=9+sqrt(5x-7)

inverse

f (x) = 9 + 5 x - 7

\frac{x ^{2} - 18 x + 88}{5}

Solution steps

y = 9 + 5 x - 7

Replace

x

with

y

x = 9 + 5 y - 7

Solve for

y, x = 9 + 5 y - 7

\frac{x ^{2} - 18 x + 88}{5}

f (x) = e^{2 x} - 15

f (x) = 3 5 x

f (x) = \frac{7 x}{2 x - 5}

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

f (x) = 2^{2}

What is the inverse of f(x)=9+sqrt(5x-7) ?
The inverse of f(x)=9+sqrt(5x-7) is (x^2-18x+88)/5