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The function g is defined by g(x) = 3x+4. Find g(z+3). I really need help with these Aleks assignments, can someone
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The function g is defined by g(x) = 3x+4.
Find g(z+3).
I really need help with these Aleks assignments, can someone help me with them?
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Mathematics
6 months
2021-07-18T00:32:29+00:00
2021-07-18T00:32:29+00:00 1 Answers
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Answer:g(x) = (x+3)/(x2-4)
The domain refers to all of the x values that the function can take on. In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined. We can factor the denominator of g(x) as follows:
g(x) = (x+3)/((x+2)(x-2)
The denominator will be zero when x = 2 or -2. Otherwise, g(x) is defined on all other values of x. So the domain of g(x) is “x = all x not equal to -2 or 2”. In interval notation, the domain is:
(-∞,-2)U(-2,2)U(2,+∞)
On a number line, draw it as follows:
-∞ <======o=====o=======> +∞
-2 2
Step-by-step explanation: