What is the inverse of f(x)=3x^2-6 ?

The inverse of f(x)=3x^2-6 is sqrt((x+6)/3),-sqrt((x+6)/3)

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inverse of f(x)=3x^2-6

inverse

f (x) = 3 x^{2} - 6

\frac{x + 6}{3}, - \frac{x + 6}{3}

Solution steps

y = 3 x^{2} - 6

Replace

x

with

y

x = 3 y^{2} - 6

Solve for

y, x = 3 y^{2} - 6

\frac{x + 6}{3}, - \frac{x + 6}{3}

f (x) = x^{7} + 2

g (x) = 7 x + 3

f (x) = 4 x^{3} + 1

e^{x + 1} - 2

f (x) = \frac{5 x}{7}

What is the inverse of f(x)=3x^2-6 ?
The inverse of f(x)=3x^2-6 is sqrt((x+6)/3),-sqrt((x+6)/3)