What is the inverse of f(x)=-4x^2-12x-2 ?

The inverse of f(x)=-4x^2-12x-2 is -(3+sqrt(-x+7))/2 ,-(3-sqrt(-x+7))/2

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inverse of f(x)=-4x^2-12x-2

inverse

f (x) = - 4 x^{2} - 12 x - 2

- \frac{3 + - x + 7}{2}, - \frac{3 - - x + 7}{2}

Solution steps

y = - 4 x^{2} - 12 x - 2

Replace

x

with

y

x = - 4 y^{2} - 12 y - 2

Solve for

y, x = - 4 y^{2} - 12 y - 2

- \frac{3 + - x + 7}{2}, - \frac{3 - - x + 7}{2}

f (x) = \frac{6 + x}{7}

f (x) = 400 - 16 x^{2}

x \frac{1}{2}

3 + x

f (x) = f (x) = 3 x - 5 x

What is the inverse of f(x)=-4x^2-12x-2 ?
The inverse of f(x)=-4x^2-12x-2 is -(3+sqrt(-x+7))/2 ,-(3-sqrt(-x+7))/2