What is the inverse of f(x)=4+sqrt(4x-8) ?

The inverse of f(x)=4+sqrt(4x-8) is (x^2-8x+24)/4

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inverse of f(x)=4+sqrt(4x-8)

inverse

f (x) = 4 + 4 x - 8

\frac{x ^{2} - 8 x + 24}{4}

Solution steps

y = 4 + 4 x - 8

Replace

x

with

y

x = 4 + 4 y - 8

Solve for

y, x = 4 + 4 y - 8

\frac{x ^{2} - 8 x + 24}{4}

f (x) = 9 x^{2} - 12, x \geq 0

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

\frac{3 x + 10}{x + 3}

f (x) = \frac{3 x + 2}{5 x - 3}

\frac{2 + 4 x}{- 4 - 5 x}

What is the inverse of f(x)=4+sqrt(4x-8) ?
The inverse of f(x)=4+sqrt(4x-8) is (x^2-8x+24)/4