Question

1

Answer 1

(f ◦ g) means f evaluated at g. it's a composite function

f(g(x)) = 3(g(x)) - 42

where g(x) = 5x. can you arrive at the next step ?

Answer 2

(f o g) basically means f(x) composed of g(x). To clarify that a bit more, it means you plug in g(x) for every x in the function.

I'm sure you're familiar with f(a) where "a" is some numerical value or can also be some other variable. That basically you means you plug in "a" into every "x" in a function.
For instance if I gave you:

2x+a=1
and i said f(a). Then you would have 2(a)+a = 1
combine like terms:
3a = 1
a = 1/3

It's the same thing, except this time, you are plugging in a whole function, g(x), into your f(x) equation. Try it.

Answer 3

close but why do you have an extra x in parentheses ?

Answer 4

g(x) = 5x so you should have 3(5x) - 42. where is the extra (x) coming from?