What is the inverse of f(x)=14+sqrt(5x-5) ?

The inverse of f(x)=14+sqrt(5x-5) is (x^2-28x+201)/5

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inverse of f(x)=14+sqrt(5x-5)

inverse

f (x) = 14 + 5 x - 5

\frac{x ^{2} - 28 x + 201}{5}

Solution steps

y = 14 + 5 x - 5

Replace

x

with

y

x = 14 + 5 y - 5

Solve for

y, x = 14 + 5 y - 5

\frac{x ^{2} - 28 x + 201}{5}

y = lo g_{5} (4 x)

f (x) = \frac{5 x}{7 x - 8}

f (x) = x^{2} + 8 x + 15

f (x) = x^{2} + 8 x + 17

f (x) = - \frac{1}{5}

What is the inverse of f(x)=14+sqrt(5x-5) ?
The inverse of f(x)=14+sqrt(5x-5) is (x^2-28x+201)/5