What is the inverse of f(x)=11+sqrt(4x-4) ?

The inverse of f(x)=11+sqrt(4x-4) is (x^2-22x+125)/4

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inverse of f(x)=11+sqrt(4x-4)

inverse

f (x) = 11 + 4 x - 4

\frac{x ^{2} - 22 x + 125}{4}

Solution steps

y = 11 + 4 x - 4

Replace

x

with

y

x = 11 + 4 y - 4

Solve for

y, x = 11 + 4 y - 4

\frac{x ^{2} - 22 x + 125}{4}

\frac{1}{\frac{1}{2} ( x - 2 )}

f (x) = ln (7 x + e)

f (x) = - \frac{ln ( x )}{ln ( 2 )}

f (x) = ln (4 - x^{2} - 9)

x = - y^{3} - 2

What is the inverse of f(x)=11+sqrt(4x-4) ?
The inverse of f(x)=11+sqrt(4x-4) is (x^2-22x+125)/4