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

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

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

inverse

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

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

Solution steps

y = 6 x^{2} + 2

Replace

x

with

y

x = 6 y^{2} + 2

Solve for

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

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

x^{3} - 3 x^{2} - 45 x + 5

f (x) = \frac{x - 6}{10}

\frac{2 x ^{2}}{x ^{2} + 2 x - 8}

f (x) = sin (5 x - 3)

y = x^{2} - 2 x - 3

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