9514 1404 393
Answer:
A
Step-by-step explanation:
The function f(x) is required in the numerator, eliminating choices C and D.
The restriction is that function g cannot be zero, so we cannot have ...
3x +2 = 0
3x = -2
x = -2/3 . . . . . eliminates choice B; confirms choice A
<h3>
Answer: B. x = 6</h3>
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Explanation:
Since the vertical lines are parallel, this means the alternate exterior angles shown are congruent.
Set them equal to each other and solve for x.
15(x+2) = 120
15x+30 = 120
15x = 120-30
15x = 90
x = 90/15
x = 6
Or we could have the steps like this
15(x+2) = 120
x+2 = 120/15
x+2 = 8
x = 8-2
x = 6
The correct answer is option D.
F(G(x)) denotes the composition of the two functions F(x) and G(x). The composition of two functions result in x, if the two functions are inverses of each other. So in this case F(x) and G(x) will be the inverse of each other. So option D is the correct answer.
Answer:
The answer is choice B: 22.52 units.
Step-by-step explanation:
We use the Pythagoras's theorem which says for a right triangle with sides
and hypotenuse
:

In our case


So we solve for 

Which is choice B.
Answer:
70%
Step-by-step explanation:
50-15 =35
35/50 = 70/100