What is the inverse of f(x)=14+3sqrt(x) ?

The inverse of f(x)=14+3sqrt(x) is (x^2)/9-(28x)/9+196/9

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inverse of f(x)=14+3sqrt(x)

inverse

f (x) = 14 + 3 x

\frac{x ^{2}}{9} - \frac{28 x}{9} + \frac{196}{9}

Solution steps

y = 14 + 3 x

Replace

x

with

y

x = 14 + 3 y

Solve for

y, x = 14 + 3 y

\frac{x ^{2}}{9} - \frac{28 x}{9} + \frac{196}{9}

f (x) = \frac{- 5 - 8 x}{7 x + 8}

7 x^{2} - 2, x \geq 0

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

(x - 6) (x - 8)

f (x) = \frac{4 x - 2}{x + 7}

What is the inverse of f(x)=14+3sqrt(x) ?
The inverse of f(x)=14+3sqrt(x) is (x^2)/9-(28x)/9+196/9