Answer:
The value of (fg)(-2) is 14
Step-by-step explanation:
We are given [tex]f(x)=8-1x[/tex] and [tex]g(x)=5x+4[/tex] and we need to find (fg)(-2)
First we will replace the 'x' in f(x) with g(x) to find (fg)(x) i.e
[tex]f(x) = 8 -1x\\(fg)(x) = 8 - 1(5x+4)\\(fg)(x) = 8 - 5x - 4\\(fg)(x) = - 5x+4[/tex]
Now we will put the value of x = -2 to find (fg)(-2) i.e
[tex](fg)(x) = - 5x+4\\(fg)(-2) = - 5(-2)+4\\(fg)(-2) = 10+4\\(fg)(-2) = 14[/tex]
So, the value of (fg)(-2) is 14
