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

The inverse of f(x)=12+3sqrt(x) is (x^2)/9-(8x)/3+16

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

inverse

f (x) = 12 + 3 x

\frac{x ^{2}}{9} - \frac{8 x}{3} + 16

Solution steps

y = 12 + 3 x

Replace

x

with

y

x = 12 + 3 y

Solve for

y, x = 12 + 3 y

\frac{x ^{2}}{9} - \frac{8 x}{3} + 16

f (x) = \frac{4 x + 20}{- x ^{2} - 5 x}

(30, 30), (0, 0)

f (x) = \frac{5 x + 3}{3 x - 4}

f (x) = \frac{2}{x ^{2} + 1}

f (x) = (4 x - 3)^{\frac{1}{2}}

What is the inverse of f(x)=12+3sqrt(x) ?
The inverse of f(x)=12+3sqrt(x) is (x^2)/9-(8x)/3+16