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

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

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

inverse

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

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

Solution steps

y = 2 x^{2} + 6

Replace

x

with

y

x = 2 y^{2} + 6

Solve for

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

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

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

f (x) = \frac{3}{4} x - 5

x + 7

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

\frac{1}{sec ^{2} ( x )}

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