What is the inverse of f(x)=sqrt(3x+11)+12 ?

The inverse of f(x)=sqrt(3x+11)+12 is (x^2-24x+133)/3

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inverse of f(x)=sqrt(3x+11)+12

inverse

f (x) = 3 x + 11 + 12

\frac{x ^{2} - 24 x + 133}{3}

Solution steps

y = 3 x + 11 + 12

Replace

x

with

y

x = 3 y + 11 + 12

Solve for

y, x = 3 y + 11 + 12

\frac{x ^{2} - 24 x + 133}{3}

x = 0.4 t + 6.6

y = 2 x + 10

y = (x - 4)^{3}

y = \frac{2 x}{5 x + 1}

\frac{21}{12} x - 13

What is the inverse of f(x)=sqrt(3x+11)+12 ?
The inverse of f(x)=sqrt(3x+11)+12 is (x^2-24x+133)/3