What is the inverse of f(x)=8-5x^2 ?

The inverse of f(x)=8-5x^2 is sqrt(-(x-8)/5),-sqrt(-(x-8)/5)

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inverse of f(x)=8-5x^2

inverse

f (x) = 8 - 5 x^{2}

- \frac{x - 8}{5}, - - \frac{x - 8}{5}

Solution steps

y = 8 - 5 x^{2}

Replace

x

with

y

x = 8 - 5 y^{2}

Solve for

y, x = 8 - 5 y^{2}

- \frac{x - 8}{5}, - - \frac{x - 8}{5}

f (x) = - x^{3} + 12 x - 16

f (x) = \frac{x ^{2} + 3 x - 18}{x - 6}

x^{3} - 3 x^{2}

f (x) = 4 x^{2} - 18 x + 6

f (x) = - x^{3} + 3 x^{2} + 24 x + 5

What is the inverse of f(x)=8-5x^2 ?
The inverse of f(x)=8-5x^2 is sqrt(-(x-8)/5),-sqrt(-(x-8)/5)