What is the inverse of f(x)=5x^2+13 ?

The inverse of f(x)=5x^2+13 is sqrt((x-13)/5),-sqrt((x-13)/5)

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inverse of f(x)=5x^2+13

inverse

f (x) = 5 x^{2} + 13

\frac{x - 13}{5}, - \frac{x - 13}{5}

Solution steps

y = 5 x^{2} + 13

Replace

x

with

y

x = 5 y^{2} + 13

Solve for

y, x = 5 y^{2} + 13

\frac{x - 13}{5}, - \frac{x - 13}{5}

f (x) = \frac{8 x - 1}{4}

f (x) = x^{2} + 3

f (x) = \frac{ln ( x ) + 3}{2}

\frac{6}{2 + x ^{2}}

y = lo g_{2} (x + 1)

What is the inverse of f(x)=5x^2+13 ?
The inverse of f(x)=5x^2+13 is sqrt((x-13)/5),-sqrt((x-13)/5)