What is the inverse of f(x)=3x^2-10-5 ?

The inverse of f(x)=3x^2-10-5 is sqrt((x+15)/3),-sqrt((x+15)/3)

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inverse of f(x)=3x^2-10-5

inverse

f (x) = 3 x^{2} - 10 - 5

\frac{x + 15}{3}, - \frac{x + 15}{3}

Solution steps

y = 3 x^{2} - 10 - 5

Replace

x

with

y

x = 3 y^{2} - 10 - 5

Solve for

y, x = 3 y^{2} - 10 - 5

\frac{x + 15}{3}, - \frac{x + 15}{3}

\frac{d}{d} x^{\frac{3}{2}}

- 9

f (x) = 3 x + 1 g (x) = x^{3} + 1

f (x) = \frac{2 x + 5}{x - 11}

f (x) = - (x + 1)^{2} - 1, x < - \frac{π}{2}

What is the inverse of f(x)=3x^2-10-5 ?
The inverse of f(x)=3x^2-10-5 is sqrt((x+15)/3),-sqrt((x+15)/3)