anonymous
  • anonymous
Find gof if f(x) = x + 7 and g(x) = 3x - 2. Answers: 3x + 5 3x - 5 3x + 19 -3x - 19
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
@Vocaloid
Vocaloid
  • Vocaloid
g o f means g(f(x)) so, substitute f(x) for x in g(x) g(f(x)) = 3(f(x)) - 2 = 3(x+7) - 2

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More answers

Vocaloid
  • Vocaloid
expand that out and you'll have your answer
anonymous
  • anonymous
@Vocaloid This is my first time doing this and I'm still kind of confused
Vocaloid
  • Vocaloid
|dw:1443493667157:dw|
Vocaloid
  • Vocaloid
is that more clear?
anonymous
  • anonymous
If there are too many x's for you, try 3a-2 a= (x+7) now put (x+7) where a is
anonymous
  • anonymous
Okay, so what do I do next?
anonymous
  • anonymous
@Vocaloid @mthompson440
Vocaloid
  • Vocaloid
3(f(x)) - 2 = 3(x+7) - 2 = ?
anonymous
  • anonymous
I'm not sure what's next
anonymous
  • anonymous
@Vocaloid @mthompson440
Vocaloid
  • Vocaloid
distribute the 3 A(B+C) = A*B + A*C 3(x + 7) = ?
anonymous
  • anonymous
@Vocaloid So I would multiply x and 7 by 3, right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
So I would get 3 and 21. Now what?
anonymous
  • anonymous
if you multiply 3 time x what do you get?
anonymous
  • anonymous
3, right?
anonymous
  • anonymous
what happened to the x?
anonymous
  • anonymous
3x?
anonymous
  • anonymous
yes, 3x.
anonymous
  • anonymous
so what else does the problem now say after 3x?
anonymous
  • anonymous
so now I have 3(3x + 21)-2
anonymous
  • anonymous
If I multiply 2(4-3) does the two still stay in the picture?
anonymous
  • anonymous
no?
anonymous
  • anonymous
2*4= 8 or 2*4= 2(8)?
anonymous
  • anonymous
the first one?
anonymous
  • anonymous
So apply that to the problem 3(x + 7) =
anonymous
  • anonymous
so it would be (3x + 21) -2
anonymous
  • anonymous
Yes, good job. now combine like terms
anonymous
  • anonymous
What do you mean?
anonymous
  • anonymous
I'm sorry. This is my first time doing this.
anonymous
  • anonymous
Two things look like the other, one of the things is different. Which two are similar, and which one is different?
anonymous
  • anonymous
3 and 21 are both positive. Is that it?
anonymous
  • anonymous
Wait no. Its 21 and -2 because its 3x not 3
anonymous
  • anonymous
There you go
anonymous
  • anonymous
so is my answer 3x + 19?
anonymous
  • anonymous
So which two can you combine (add or subtract)?
anonymous
  • anonymous
Yes, good job
anonymous
  • anonymous
Thank you so much!
anonymous
  • anonymous
ok

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