anonymous
  • anonymous
am I right at all? Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. −15 << my answer −8 10 25
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Hero
  • Hero
@FrostFlare23 mind showing the work you did to arrive at that answer?
anonymous
  • anonymous
alright give me a second
anonymous
  • anonymous
well techincally I did work but none of the answers matched mine

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More answers

anonymous
  • anonymous
f(-3) = 2(-3) + 5
anonymous
  • anonymous
f(-3) = -6 + 5 = -1
anonymous
  • anonymous
did I screw up?
anonymous
  • anonymous
@Hero ?
anonymous
  • anonymous
you there dude?
Hero
  • Hero
Looks right so far, but ...
Hero
  • Hero
You should calculate f(g(x)) first, then calculate f(g(-3)).
anonymous
  • anonymous
oh. uhm how do I do that? thats the only thing that confuses me
Hero
  • Hero
I'll get you started: f(x) = 2x + 5 1. Replace x with g(x) f(g(x)) = 2(g(x)) + 5 2. Replace g(x) with x - 7 = 2(x - 7) + 5 3. Simplify the expression
anonymous
  • anonymous
hmm... 2x -14 +5?
Hero
  • Hero
So f(g(x)) = 2x - 14 + 5, but that can also be further reduced, right?
anonymous
  • anonymous
I think so
Hero
  • Hero
Because -14 + 5 = -9 so f(g(x)) = 2x - 9 Now calculate f(g(-3))
anonymous
  • anonymous
hmm. so we would add 14 to both the 5 and the -14?
anonymous
  • anonymous
oh sorry. lol late comment there
Hero
  • Hero
@FrostFlare23 waiting on you ...
anonymous
  • anonymous
alright
anonymous
  • anonymous
so we would then divide 2 to both sides to isolate the X in order to get x = 4.5?
Hero
  • Hero
No, you just simply evaluate f(g(x)) at x = -3 f(g(x)) = 2x - 9 f(g(-3)) = 2(-3) - 9
anonymous
  • anonymous
oh!
anonymous
  • anonymous
alright
anonymous
  • anonymous
so basically it would become: 2(-3) which equals -6. then we subtract -6 from 9 to get -15?
Hero
  • Hero
Correct.
anonymous
  • anonymous
ok so I was right I just ha the wrong way of doing it the first time thank you!
Hero
  • Hero
Both ways of doing it are correct. It's just better practice to write f(g(x)) as a single expression then evaluate it once.
anonymous
  • anonymous
alright thank you kind sir!
Hero
  • Hero
The problem with doing it the way is, if someone asked you what f(g(x)) is, you wouldn't be able to tell them.
anonymous
  • anonymous
oh ok

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