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

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

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

inverse

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

- \frac{x - 6}{2}, - - \frac{x - 6}{2}

Solution steps

y = 6 - 2 x^{2}

Replace

x

with

y

x = 6 - 2 y^{2}

Solve for

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

- \frac{x - 6}{2}, - - \frac{x - 6}{2}

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

f (x) = - 2 x - 7

f (x) = 4 (x + 1)^{2} - 1

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

- (x + 5)^{2} + 2

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