What is the inverse of f(x)=4x^2-6 ?

The inverse of f(x)=4x^2-6 is (sqrt(x+6))/2 ,-(sqrt(x+6))/2

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inverse of f(x)=4x^2-6

inverse

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

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

Solution steps

y = 4 x^{2} - 6

Replace

x

with

y

x = 4 y^{2} - 6

Solve for

y, x = 4 y^{2} - 6

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

- 5 cos (\frac{x}{3} + \frac{π}{2}) - 4

(- 1, 3), (3, 5)

\frac{- 5 x + 25}{9}

\frac{3}{x ^{2} + 3 x - 4}

(6.4) (8.1)

What is the inverse of f(x)=4x^2-6 ?
The inverse of f(x)=4x^2-6 is (sqrt(x+6))/2 ,-(sqrt(x+6))/2