What is the inverse of f(x)= 1/2 (x+6)^2-8 ?

The inverse of f(x)= 1/2 (x+6)^2-8 is sqrt(2x+16)-6,-sqrt(2x+16)-6

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inverse of f(x)= 1/2 (x+6)^2-8

inverse

f (x) = \frac{1}{2} (x + 6)^{2} - 8

2 x + 16 - 6, - 2 x + 16 - 6

Solution steps

y = \frac{1}{2} (x + 6)^{2} - 8

Replace

x

with

y

x = \frac{1}{2} (y + 6)^{2} - 8

Solve for

y, x = \frac{1}{2} (y + 6)^{2} - 8

2 x + 16 - 6, - 2 x + 16 - 6

f (x) = \frac{( x + 2 )}{( x - 1 )}

\frac{x}{5 x - 7}

f (x) = \frac{1}{6} (x - 8)

x^{2} - 6 x + 8

What is the inverse of f(x)= 1/2 (x+6)^2-8 ?
The inverse of f(x)= 1/2 (x+6)^2-8 is sqrt(2x+16)-6,-sqrt(2x+16)-6