We have the following functions:
f (x) = x ^ 2 + 1
g (x) = 1 / x
Multiplying we have:
(f * g) (x) = (x ^ 2 + 1) * (1 / x)
Rewriting:
(f * g) (x) = ((x ^ 2 + 1) / x)
Therefore, the domain of the function is given by all the values of x that do not make zero the denominator.
We have then:
All reals except number 0
Answer:
b. all real numbers, except 0
Answer:
D. None of the choices are correct.
Step-by-step explanation:
If <em>B</em> is the midpoint of AC, then that means that AB is congruent to BC. Because this is true, you can set 8x + 4 and 10x - 8 equal.
8x + 4 = 10x - 8
Now just solve for x. Subtract 8x from both sides and add 8 to both sides.
4 = 2x - 8
12 = 2x
Then divide by 2.
6 = x
Another way to do this problem is to set up the same equation, but instead of solving it, plug in answer choices A, B, and C independently of each other. Then simplify to see if those are right. You'll find out that none of them are.
