Question

find (f*g)(x) and (g*f)(x):
f(x)=(1/2)(x) - 7
g(x)=x+6

This was a problem in my math class. so, can someone show me how my teacher got (1/2)(x)-4; (1/2)x-1?? i want to make i know how to do these problems. thanks!

Answer 1

Any ideas?

Answer 2

Where do you think we should start?

Answer 3

(12x−7)⋅(x+6)

Answer 4

(1/2x−7)⋅(x+6)

Answer 5

Why do you want to start there?

Answer 6

(f*g)(x), i thought i should start there... am i wrong?

Answer 7

In math you need to think about what things "mean" first before starting, right?

Answer 8

yes ok

Answer 9

What does "(f*g)(x)" mean? and how does that meaning compare to "(g*f)(x)"?

Answer 10

Have you ever seen this (f*g)(x) and (g*f)(x) notation or way of writing things?

Answer 11

Hello?

Answer 12

yes, sorry. i dont know what they really mean. maybe that i have to multiply them in a different order

Answer 13

That is just a guess, does your teacher or book have this in writing any where?

Answer 14

i only wrote, that f(x) was the function that was given; and g(x) is the function. And that the functions are in twos (composition functions)