What is the inverse of f (x) = (x+6) 2 for x≥-6 where function g is the inverse of function f?

g (x) = √x - 6, x ≥ 0

Sorry my mistake, it is actually worded as "f (x) = (x+6) ^2"

Explanation:

y

=

(

x

+

6

)

2

with

x

≥

-

6

, then

x

+

6

is positive, so

√

y

=

x

+

6

And

x

=

√

y

-

6

for

y

≥

0

So the inverse of

f

is

g

(

x

)

=

√

x

-

6

for

x

≥

0