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

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

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inverse of f(x)=2x^2+4

inverse

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

\frac{x - 4}{2}, - \frac{x - 4}{2}

Solution steps

y = 2 x^{2} + 4

Replace

x

with

y

x = 2 y^{2} + 4

Solve for

y, x = 2 y^{2} + 4

\frac{x - 4}{2}, - \frac{x - 4}{2}

x^{2} - 16

ln (x + 6)

(- 1, - 6), (3, - 6)

f (x) = \frac{2 x}{x - 5}

f (x) = x^{4} e^{x} - 3

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