Question

Let f(x) = 3x - 42 and g(x) = 5x.

Part 1 [4 points] What is (f ◦ g)(x) ?
Part 2 [2 points] Use complete sentences to describe the method you used to solve this problem.

Really stuck on the whole (f ◦ g)(x) what does that mean

Answer 1

f*g(x) and f(g(x)) are different functions.
For starters, you're missing a closing parentheses in the Part 1, which makes me think it should be the latter. If it wanted you to multiply the equations, there would be a dot in the middle of f and g, which is what you said we need to do. What's more troubling is that last sentence which seems to defy anything I ever learned in Algebra II, but hey, we'll solve it for all methods.

f(g(x)) simply means to plug in g(x) into f(x)
Thusly, if we substitute x for g(x), we get
f(x)=3(g(x))-42
Again, we substitute g(x) into the equation:
3(5x)-42=
15x-42

f*g(x) is where we multiply the two equations:
(3x-42)(5x)
Since it's only a monomial and a binomial, we can use the distributive property, which gives us:
15x^2-230x

Going by what you said we need to do in that last sentence, we'll borrow from what we just did and multiply by x
x(15x^2-230x)
Again, distributive property gives us:
15x^3-230x^2

Answer 2

I saw that on yahoo but I don't know if its write

Answer 3

Really need help please

Answer 4

it's correct

Answer 5

Which one the second one down?