What is the inverse of f(x)=(sqrt(x)-16)/(13) ?

The inverse of f(x)=(sqrt(x)-16)/(13) is 169x^2+416x+256

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inverse of f(x)=(sqrt(x)-16)/(13)

inverse

f (x) = \frac{x - 16}{13}

169 x^{2} + 416 x + 256

Solution steps

y = \frac{x - 16}{13}

Replace

x

with

y

x = \frac{y - 16}{13}

Solve for

y, x = \frac{y - 16}{13}

169 x^{2} + 416 x + 256

512

f (x) = - 2 x + 3 y = 6

4 \cdot 0.7 6^{x} - 2

\frac{1}{9} x^{2}

What is the inverse of f(x)=(sqrt(x)-16)/(13) ?
The inverse of f(x)=(sqrt(x)-16)/(13) is 169x^2+416x+256