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

The inverse of f(x)=7+sqrt(3x-3) is (x^2-14x+52)/3

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

inverse

f (x) = 7 + 3 x - 3

\frac{x ^{2} - 14 x + 52}{3}

Solution steps

y = 7 + 3 x - 3

Replace

x

with

y

x = 7 + 3 y - 3

Solve for

y, x = 7 + 3 y - 3

\frac{x ^{2} - 14 x + 52}{3}

f (x) = \frac{4}{2 x + 3}

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

f (x) = 10 (x - 3)^{3} + 10

f (x) = 2 x + 2

f (x) = \frac{1}{4} x^{2} + \frac{7}{4} x - \frac{31}{16}

What is the inverse of f(x)=7+sqrt(3x-3) ?
The inverse of f(x)=7+sqrt(3x-3) is (x^2-14x+52)/3