anonymous
  • anonymous
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)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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
  • anonymous
yes for part A you add. \[(f+g)(x)=f(x)+g(x)=5x-12+11x+2\]
anonymous
  • anonymous
Combine like terms

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Would it be -6x?
anonymous
  • anonymous
you'd add the terms with x's together and the constant terms, so (5x + 11x) + (-12 + 2) Do each grouping separately
anonymous
  • anonymous
16x + (-10)?
anonymous
  • anonymous
right, so 16x - 10 is the answer
anonymous
  • anonymous
Oh okay! Can you help with the other two parts as well, please?
anonymous
  • anonymous
yeah. For B you have to use FOIL \[(5x-12)(11x+2)\]
anonymous
  • anonymous
\[55x^2-122x-24\] Right?
anonymous
  • anonymous
yes that's right
anonymous
  • anonymous
For C, they want f(g(x)), so you substitute g(x) for the x in f(x)|dw:1440209471420:dw|
anonymous
  • anonymous
Would it be: \[55x - 10\]
anonymous
  • anonymous
I got 55x - 2 Did you start with 5(11x + 2) - 12
anonymous
  • anonymous
Yes, I thought when you added positive 2 to negative 12 it would end up being negative 10, or am I doing something wrong-?
anonymous
  • anonymous
5(11x + 2) - 12 Distribute 5 55x + 10 - 12 55x - 2
anonymous
  • anonymous
Ahh, alright I see what I did wrong. I didn't distribute completely.
anonymous
  • anonymous
Is that the answer for part C?
anonymous
  • anonymous
he didnt finish the question...

Looking for something else?

Not the answer you are looking for? Search for more explanations.