What is the inverse of f(x)=(((sqrt(x)-13)))/3 ?

The inverse of f(x)=(((sqrt(x)-13)))/3 is 9x^2+78x+169

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inverse of f(x)=(((sqrt(x)-13)))/3

inverse

f (x) = \frac{( ( x - 13 ) )}{3}

9 x^{2} + 78 x + 169

Solution steps

y = \frac{x - 13}{3}

Replace

x

with

y

x = \frac{y - 13}{3}

Solve for

y, x = \frac{y - 13}{3}

9 x^{2} + 78 x + 169

f (x) = 13 x + 7

f (x) = e^{0.7 x}

f (x) = ln (e)

2 lo g_{e} (x + 4) + 1

F (X) = 5 X + 6

What is the inverse of f(x)=(((sqrt(x)-13)))/3 ?
The inverse of f(x)=(((sqrt(x)-13)))/3 is 9x^2+78x+169