Question

Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly?
f[g(x)] = 7x + 15
f[g(x)] = 7x + 27
f[g(x)] = 7x2 + 15
f[g(x)] = 7x2 + 27

Answer 1

@Hero @stacy.reed08

Answer 2

ok, same thing as the last one :)

Answer 3

ok so im guessing C!!??

Answer 4

add like terms

Answer 5

don't guess, plug it in and work through one step at a time...

Answer 6

no i did lol

Answer 7

g(x)=x+2 so you plug in (x+2) for x in f(x)...what would that look like before you distribute it out and combine like terms?

Answer 8

7x + 13

Answer 9

7x

Answer 10

that's f(x)...take a step back...what would you do if it told you to evaluate f(x) for x=3?

Answer 11

oh 21

Answer 12

7(3)

Answer 13

perfect! you'd plug it in! but here's the thing...you don't have a value for x. you have (x+2), but it still works the same way. You plug it in to f(x) so you get 7(x+2)+13

Answer 14

so now's the time to use the distributive property and multiply it out.

Answer 15

oh ok so its D right i multiplied

Answer 16

i distributed not multiplied

Answer 17

go back :) I know it can be frustrating, but you can totally get this!

Answer 18

yikes i thought i got it right ://

Answer 19

do 7 times x and then 7 times 2

Answer 20

7x and 14

Answer 21

bingo! so now put it all back together...7x+14+13

Answer 22

7x + 27!!

Answer 23

which is what answer choice?

Answer 24

So B!

Answer 25

there it is! great work!

Answer 26

You're an amazing teacher thank you so much!!! :D

Answer 27

You are oh so welcome! Thank YOU for not giving up!

Answer 28

ill make sure to tag your from now on when i have a question thanks so much!! Have a wonderful day ma'am :))))

Answer 29

:) have a great evening!