Find gof if f(x) = x + 7 and g(x) = 3x - 2. Answers: 3x + 5 3x - 5 3x + 19 -3x - 19

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Find gof if f(x) = x + 7 and g(x) = 3x - 2. Answers: 3x + 5 3x - 5 3x + 19 -3x - 19

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

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