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

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

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

inverse

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

- \frac{x + 5}{3}, - - \frac{x + 5}{3}

Solution steps

y = - 5 - 3 x^{2}

Replace

x

with

y

x = - 5 - 3 y^{2}

Solve for

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

- \frac{x + 5}{3}, - - \frac{x + 5}{3}

f (x) = - 3 x^{2} + 6 x + 7

f (x) = - \frac{1}{2} (x - 2)^{3}

f (x) = \frac{( 2 x - 4 )}{( 4 x + 3 )}

f (x) = (- 3 + 3)^{2} - 1

f (x) = \frac{3 x - 5}{6}

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