Question

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

Answer 1

The given functions are $f(x)=8-10x$ and $g(x)=5x+4$

We have to compute (fg)(-2)

Firstly we will calculate f(g)

= $f(5x+4)$

= $8-10(5x+4)$

=$8-50x-40$

= $-50x-32$

Now, we have to determine (fg)(-2),

f(g) = -50x-32

(fg)(-2)= $(-50 \times -2)-32$

= 100-32

= 68.

So, the value of (fg)(-2) is 68.