Can someone provide some assistance please?

Use the functions f(x) = 5x − 12 and g(x) = 11x + 2 to complete the function operations listed below.

Part A: Find (f + g)(x). Show your work. (3 points)

Part B: Find (f ⋅ g)(x). Show your work. (3 points)

Part C: Find f[g(x)]. Show your work. (4 points)

Question

Can someone provide some assistance please? 

Use the functions f(x) = 5x − 12 and g(x) = 11x + 2 to complete the function operations listed below.

Part A: Find (f + g)(x). Show your work. (3 points)

Part B: Find (f ⋅ g)(x). Show your work. (3 points)

Part C: Find f[g(x)]. Show your work. (4 points)

anonymous · Answer

I believe that for the first part that you're supposed to add the two equations, but the part about part A that confuses me is /how/ do you add them?

anonymous · Answer

yes for part A you add.

$$(f+g)(x)=f(x)+g(x)=5x-12+11x+2$$

anonymous · Answer

Combine like terms

anonymous · Answer

Would it be -6x?

anonymous · Answer

you'd add the terms with x's together and the constant terms, so

(5x + 11x) + (-12 + 2)

Do each grouping separately

anonymous · Answer

16x + (-10)?

anonymous · Answer

right, so 
16x - 10 is the answer

anonymous · Answer

Oh okay! Can you help with the other two parts as well, please?

anonymous · Answer

yeah. For B you have to use FOIL
$$(5x-12)(11x+2)$$

anonymous · Answer

$$55x^2-122x-24$$
Right?

anonymous · Answer

yes that's right

anonymous · Answer

For C, they want f(g(x)), so you substitute g(x) for the x in f(x)|dw:1440209471420:dw|