What is the inverse of f(x)=2(x+3)^2-4 ?

The inverse of f(x)=2(x+3)^2-4 is sqrt((x+4)/2)-3,-sqrt((x+4)/2)-3

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inverse of f(x)=2(x+3)^2-4

inverse

f (x) = 2 (x + 3)^{2} - 4

\frac{x + 4}{2} - 3, - \frac{x + 4}{2} - 3

Solution steps

y = 2 (x + 3)^{2} - 4

Replace

x

with

y

x = 2 (y + 3)^{2} - 4

Solve for

y, x = 2 (y + 3)^{2} - 4

\frac{x + 4}{2} - 3, - \frac{x + 4}{2} - 3

f (x) = 12 x + 13

f (x) = - 301.6 ln (x) + 2003.3

8 x^{3} - 2

f (x) = (x - 9)^{2} + 1

What is the inverse of f(x)=2(x+3)^2-4 ?
The inverse of f(x)=2(x+3)^2-4 is sqrt((x+4)/2)-3,-sqrt((x+4)/2)-3