Question

If f(x)=8-1x and g(x)=5x+4, what is the value of (fg)(-2)

Answer 1

Answer:

The value of (fg)(-2) is 14

Step-by-step explanation:

We are given $f(x)=8-1x$ and $g(x)=5x+4$ 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

$f(x) = 8 -1x\\(fg)(x) = 8 - 1(5x+4)\\(fg)(x) = 8 - 5x - 4\\(fg)(x) = - 5x+4$

Now we will put the value of x = -2 to find (fg)(-2) i.e

$(fg)(x) = - 5x+4\\(fg)(-2) = - 5(-2)+4\\(fg)(-2) = 10+4\\(fg)(-2) = 14$

So, the value of (fg)(-2) is 14