Let f(x)=3x-7 and g(x)= -2x - 6, how do you find (f o g)(4)?

1 Answer
Oct 5, 2016

(f@g)(4) = -49(fg)(4)=49

Explanation:

You can solve this in two ways:
(1).(1). plugging the 44 into g(x)g(x) and then putting what you get from that in to f(x)f(x)
(2).(2). plug g(x)g(x) into f(x)f(x) and then plug in the 44

Option 1:

Plug 44 into g(x)g(x):

g(x) = -2(color(blue)(4))-6 = -8-6 = -14g(x)=2(4)6=86=14

Then plug g(x)g(x) into f(x)f(x):

f(x) = 3(color(blue)(-14))-7 = -42-7 = -49f(x)=3(14)7=427=49

Option 2:

Plug g(x)g(x) into f(x)f(x):

f(x) = 3(color(blue)(-2x-6))-7 = -6x-18-7 = -6x-25f(x)=3(2x6)7=6x187=6x25

Finally plug 44 into our current f(x)f(x):

f(x) = -6(color(blue)(4))-25 = -24-25 = -49f(x)=6(4)25=2425=49