Jen and marcus got 15 miles up river before they ran out of gas they floated 9 miles back down river before they reached the sho
1 answer:
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Answer:
A. (-∞, ∞)
Step-by-step explanation:
f circle g (x) is another way of expressing f(g(x)). Basically, we have to plug g(x) into f(x) wherever we see x's.
f(x) = x^2 - 1
f(x) = (2x-3)^2 - 1
Now find the domain. I think the easiest way to do this is to graph it. I've attached the graph. You can also do it algebraically by thinking about it: it's a positive parabola (+x^2) and its minimum is -1, so its range will not be all real numbers, but its domain will certainly be. (The range would be answer choice B!)
Domain = (-∞, ∞)
To complete the identity, we need these fundamental identities:
Thus, by identity 1 we have:
by identity :
recall the values :
,
so:
Putting all these together, we have:
which is equal to
, by identity 3
Answer: D
Thus, by identity 1 we have:
by identity :
recall the values :
so:
Putting all these together, we have:
which is equal to
Answer: D