What is the inverse of f(x)=-5x^2+6 ?

The inverse of f(x)=-5x^2+6 is sqrt(-(x-6)/5),-sqrt(-(x-6)/5)

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inverse of f(x)=-5x^2+6

inverse

f (x) = - 5 x^{2} + 6

- \frac{x - 6}{5}, - - \frac{x - 6}{5}

Solution steps

y = - 5 x^{2} + 6

Replace

x

with

y

x = - 5 y^{2} + 6

Solve for

y, x = - 5 y^{2} + 6

- \frac{x - 6}{5}, - - \frac{x - 6}{5}

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

f (x) = x^{4} + x^{2}

16 x^{2} - 72 x + 88

f (x) = - \frac{3}{8} x - \frac{3}{2}

f (x) = (ln (x)) - 1

What is the inverse of f(x)=-5x^2+6 ?
The inverse of f(x)=-5x^2+6 is sqrt(-(x-6)/5),-sqrt(-(x-6)/5)