What is the inverse of f(x)=4+3sqrt(x) ?

The inverse of f(x)=4+3sqrt(x) is (x^2)/9-(8x)/9+16/9

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inverse of f(x)=4+3sqrt(x)

inverse

f (x) = 4 + 3 x

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

Solution steps

y = 4 + 3 x

Replace

x

with

y

x = 4 + 3 y

Solve for

y, x = 4 + 3 y

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

f (x) = \frac{3 x}{4 x - 7}

f (x) = - \frac{16 + x}{4}

f (x) = ln (3 x) + 2

f (x) = 2 x + a

f (x) = (x - 12)^{2}, [12, \infty]

What is the inverse of f(x)=4+3sqrt(x) ?
The inverse of f(x)=4+3sqrt(x) is (x^2)/9-(8x)/9+16/9