What is the inverse of f(x)=5+sqrt(4x-4) ?

The inverse of f(x)=5+sqrt(4x-4) is (x^2-10x+29)/4

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inverse of f(x)=5+sqrt(4x-4)

inverse

f (x) = 5 + 4 x - 4

\frac{x ^{2} - 10 x + 29}{4}

Solution steps

y = 5 + 4 x - 4

Replace

x

with

y

x = 5 + 4 y - 4

Solve for

y, x = 5 + 4 y - 4

\frac{x ^{2} - 10 x + 29}{4}

\frac{2 x ^{2} + 4 x}{2 x + 2}

f (x) = lo g_{9} (x) + lo g_{9} (12)

f (x) = 75 - \frac{x}{2}

3 - 4 - x

f (x) = 1 - \frac{2 - x}{3}

What is the inverse of f(x)=5+sqrt(4x-4) ?
The inverse of f(x)=5+sqrt(4x-4) is (x^2-10x+29)/4