What is the inverse of f(x)=sqrt(3x-7)-7 ?

The inverse of f(x)=sqrt(3x-7)-7 is (x^2+14x+56)/3

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inverse of f(x)=sqrt(3x-7)-7

inverse

f (x) = 3 x - 7 - 7

\frac{x ^{2} + 14 x + 56}{3}

Solution steps

y = 3 x - 7 - 7

Replace

x

with

y

x = 3 y - 7 - 7

Solve for

y, x = 3 y - 7 - 7

\frac{x ^{2} + 14 x + 56}{3}

f (x) = x^{\frac{1}{5}} - 4

f (x) = x^{7} - 3

\frac{- 2 - 5 x}{4 x - 7}

f (x) = \frac{x ^{3}}{9}

ln (20 x + e)

What is the inverse of f(x)=sqrt(3x-7)-7 ?
The inverse of f(x)=sqrt(3x-7)-7 is (x^2+14x+56)/3