A.
F(10)= (10)^2-3(10)-5
F(10)=100-30-5
F(10)=65
B.
F(-3)=(-3)^2-3(-3)-5
F(-3)=9+9-5
F(-3)=13
C.
G(2)= -6(2)+1
G(2)= -12+1
G(2)=-11
D.
G(10)=-6(10)+1
G(10)= -60+1
G(10)= -59
Answer: 4a16b4c12
Step-by-step explanation:
GOING ACROSS
First: 2/4
Second: 5/6
Third: 5/6
Fourth: 2/4
Fifth: other
<h3>
Answer: C) 3</h3>
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Explanation:
f(x) is the outer function, so the final output -8 corresponds to f(x)
We see that f(-4) = -8 in the first column of the table. I'm starting with the output and working my way backward to get the input. So we started with -8 and worked back to -4.
Then we move to the g(x) function to follow the same pattern: start with the output and move to the input. We start at -4 in the g(x) bubble and move to 3 in the x bubble.
In short, g(3) = -4
So,
f(g(x)) = f(g(3)) = f(-4) = -8
We see that x = 3 leads to f(g(x)) = -8
