If f(x)=8-10x and g(x)=5x+4, what is the value f (fg)(-2)?

Answer:
-168
Step-by-step explanation:
f(x) = 8-10x
g(x) = 5x+4
To find the answer to this, we will find f(-2) and g(-2), then find their product:
f(-2) = 8-10(-2) = 8--20 = 8+20 = 28
g(-2) = 5(-2)+4 = -10+4 = -6
28(-6) = -168
b) -168
Given functions are:
[tex]f(x) = 8-10x\\\\ g(x) = 5x+4 [/tex]
We need to find f(-2) and g(-2), then find their product:
Lets calculate first for f(-2)
[tex]f(-2) = 8-10(-2)\\\\ = 8-(-20) \\\\= 8+20 \\\\ f(-2)= 28[/tex]
Then, we will calculate for g(-2)
[tex]g(-2) = 5(-2)+4 \\\\= -10+4 \\\\ g(-2)= -6\\\\ [/tex]
Now finally, we will write the product:
[tex]f(-2)*g(-2)\\\\28(-6) = -168[/tex]
Therefore, the correct option is b.
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