What is the inverse of f(x)=3(x+2)^2-6 ?

The inverse of f(x)=3(x+2)^2-6 is sqrt((x+6)/3)-2,-sqrt((x+6)/3)-2

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inverse of f(x)=3(x+2)^2-6

inverse

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

\frac{x + 6}{3} - 2, - \frac{x + 6}{3} - 2

Solution steps

y = 3 (x + 2)^{2} - 6

Replace

x

with

y

x = 3 (y + 2)^{2} - 6

Solve for

y, x = 3 (y + 2)^{2} - 6

\frac{x + 6}{3} - 2, - \frac{x + 6}{3} - 2

\frac{4}{3 + x}

x

ln (x - 4)

(4, - 14), (2, 2)

f (x) = - 4

What is the inverse of f(x)=3(x+2)^2-6 ?
The inverse of f(x)=3(x+2)^2-6 is sqrt((x+6)/3)-2,-sqrt((x+6)/3)-2