What is the inverse of f(x)=5x^2+10 ?

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

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inverse of f(x)=5x^2+10

inverse

f (x) = 5 x^{2} + 10

\frac{x - 10}{5}, - \frac{x - 10}{5}

Solution steps

y = 5 x^{2} + 10

Replace

x

with

y

x = 5 y^{2} + 10

Solve for

y, x = 5 y^{2} + 10

\frac{x - 10}{5}, - \frac{x - 10}{5}

x^{2} - 4 x - 6

f (x) = 5 x + 2

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

- 2 x + 8

f (x) = 2 e^{x} + 1

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