What is the inverse of f(x)=3sqrt(x)+5 ?

The inverse of f(x)=3sqrt(x)+5 is (x^2)/9-(10x)/9+25/9

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inverse of f(x)=3sqrt(x)+5

inverse

f (x) = 3 x + 5

\frac{x ^{2}}{9} - \frac{10 x}{9} + \frac{25}{9}

Solution steps

y = 3 x + 5

Replace

x

with

y

x = 3 y + 5

Solve for

y, x = 3 y + 5

\frac{x ^{2}}{9} - \frac{10 x}{9} + \frac{25}{9}

f (x) = x^{3} - 3 x^{2} - 45 x

f (x) = x^{3} + 3 x^{2} - 9 x - 5

f (x) = x^{2} - 12 x + 4

n^{3} + 2

2 x^{2} + 2

What is the inverse of f(x)=3sqrt(x)+5 ?
The inverse of f(x)=3sqrt(x)+5 is (x^2)/9-(10x)/9+25/9