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

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

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

inverse

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

- \frac{x - 2}{3}, - - \frac{x - 2}{3}

Solution steps

y = - 3 x^{2} + 2

Replace

x

with

y

x = - 3 y^{2} + 2

Solve for

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

- \frac{x - 2}{3}, - - \frac{x - 2}{3}

f (x) = x^{4} - 16 x^{2}

4 x + 15

f (x) = \frac{4}{x ^{2} - 9}

3

f (x) = \frac{x ^{2} + 9}{9 x ^{2} - 26 x - 3}

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