What is the inverse of f(x)=sqrt(3x+8)-8 ?

The inverse of f(x)=sqrt(3x+8)-8 is (x^2+16x+56)/3

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inverse of f(x)=sqrt(3x+8)-8

inverse

f (x) = 3 x + 8 - 8

\frac{x ^{2} + 16 x + 56}{3}

Solution steps

y = 3 x + 8 - 8

Replace

x

with

y

x = 3 y + 8 - 8

Solve for

y, x = 3 y + 8 - 8

\frac{x ^{2} + 16 x + 56}{3}

f (x) = x (x - 100)

g (x) = \frac{4 x}{( 6 x - 5 )}

f (x) = 4 x + 6 (x - 3)

f (x) = lo g_{2} (8 x + 5) = 4

\frac{x}{x ^{2} - 25}

What is the inverse of f(x)=sqrt(3x+8)-8 ?
The inverse of f(x)=sqrt(3x+8)-8 is (x^2+16x+56)/3