(07.02 MC)
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 = (-∞, ∞)
Answer:
100 over 9
Step-by-step explanation:
The toughest part of this is to figure out exactly how to express that complex formula description.
You begin by writing the equation form as it is in written in English, the important words there are the 'whole' ones... which means to close the parenthesis.
Once you have written it all out as shown on the first line of the attached image, you just have to do the calculations, as demonstrated in the other 3 lines.
