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

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

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

inverse

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

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

Solution steps

y = 6 x^{2} - 6

Replace

x

with

y

x = 6 y^{2} - 6

Solve for

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

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

f (x) = \frac{3 x + 6}{x - 2}

- (x - 2)^{2} + 1

f (x) = \frac{( x + 7 )}{x}

f (x) = - \frac{5}{3} + 10

f (x) = 9 x^{2} - 18 x + 5

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