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

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

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

inverse

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

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

Solution steps

y = 5 x^{2} + 5

Replace

x

with

y

x = 5 y^{2} + 5

Solve for

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

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

ln (x^{2} + 4)

y = x - 4 + 3

f (x) = \frac{700000}{x ^{2}}

\frac{8}{x + 2}

f (x) = 10 x + 4

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