The actual inverse function is:

And the domain is [0, ∞).
<h3>
Where is the mistake?</h3>
Remember that for a given function f(x) with a domain D and a range R.
For the inverse function, f⁻¹(x) the domain is R and the range is D.
Here, for the given function the domain is x ≥ 3 and the range is [0, ∞).
Then for the inverse function, which is:

(to check this, you must have that):

The domain will be [0, ∞) and the range x ≥ 3
If you want to learn more about inverse functions:
brainly.com/question/14391067
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Answer:
x<29
Step-by-step explanation:
This would be the BEST answer. Hope it helps! ☺
Answer: C
g(x) = 1/2 f (x)
Step-by-step explanation:
Answer:
Im assuming you meant 43 because if you did x=5
Step-by-step explanation:
8 times 5 is 40 and ifyou add 3 it equals 43
First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:

Now we can rewrite our expression using the common denominator:

Finally, we can use the trig identities:

and

to simplify our trig expression:
We can conclude that the correct answer is the fourth one.