Question

If f(x)=x^2+1 and g(x)=3x+1, find 2f(1)+3g(4).

Answer 1

you seem familiar.. didn't get the last question huh

Answer 2

okay i''m not gonna solve the thing for you... someone else prob will I'll just help with understnding.. you know f(x) and g(x) are expression and when they say f(1) or g(4) that just means to find the solution to the f(x) and g(x) by replacing the x variable in the expressions with the number inside the brackets. so if f(x) = x+1 then f(1)=1+1 =2 so f(1) = 2 and 2f(1) is just 2(2)=4. Hope this help you understand

Answer 3

Yup

Answer 4

if you solve your question, I can help you check if you're right or not

Answer 5

Ok

Answer 6

Ok so far f(2) and g(13) is that correct

Answer 7

you mean f(1) =2 and g(4)=13 right. that is correct. f(2) and g(13) means something totally different

Answer 8

Oh ok

Answer 9

Yup, now you just have to sub in into the last equation and you're done

Answer 10

That's what I don't get that part never could get past that.

Answer 11

okay so you got f(1)=2 and g(4)=13 right. Let's just make sure we are on the same page.

Answer 12

and you understand how you got those values right

Answer 13

Yes

Answer 14

and we are looking for 2f(1)+3g(4). You may think this is confusing. but try seeing it as 2a+3b where a=f(1)=2 and b=g(4)=13. does it look solvable to you now?

Answer 15

So I'm just going to add 2+13

Answer 16

well not exactly. it's 2a+3b. where a=2 for f(1) and b=13 for g(4)
so it should be 2(2) + 3(13). see what I did there? do you understand?

Answer 17

Oh ok

Answer 18

Let me know if you got the final answer

Answer 19

43

Answer 20

Yup!

Answer 21

Here is the complete solution in one place:
f(x) = x^2 + 1
f(1) = 1^2 + 1 = 2

g(x) = 3x + 1
g(4) = 3(4) + 1 = 13

Plug f(1) and g(4) into 2f(1) + 3g(4):
2f(1) + 3g(4) = 2(2) + 3(13) = 4 + 39 = 43

Answer 22

Thanks a lot