anonymous
  • anonymous
Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2. 1. -14 2.-7 3.7 4.11
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Vocaloid
  • Vocaloid
first step is to solve g(x) when x = 2 then take the result and plug it into f(x)
anonymous
  • anonymous
Do I divide 2 to -2x and -3? @Vocaloid
Vocaloid
  • Vocaloid
... huh? let's take it one step at a time: what is g(x) when x = 2?

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More answers

anonymous
  • anonymous
okay so g(2)=-2x-3 what do I do next with this funtion? @Vocaloid
Vocaloid
  • Vocaloid
plug in 2 for x and tell me what you get when you solve it
anonymous
  • anonymous
I'm a bit unsure if it's right but negative 7
Vocaloid
  • Vocaloid
yup! g(2) = -7 alright, so now let's plug in -7 for x using f(x)
anonymous
  • anonymous
f(-7)=-4(-7)=9 I'm I wrong at some part? @Vocaloid
Vocaloid
  • Vocaloid
uh, not quite f(x) = -x+4, remember?
Vocaloid
  • Vocaloid
if x = -7, what is f(x)?
anonymous
  • anonymous
oh that was my fault I plugged it in for the wrong problem @Vocaloid
anonymous
  • anonymous
instead of the x it would be F(-7) Am I right? @Vocaloid
Vocaloid
  • Vocaloid
yup, so what is our answer? :)
anonymous
  • anonymous
F(-7)=-7+4 F(-7)=-3 what am I going to use F(-7) for? @Vocaloid
Vocaloid
  • Vocaloid
not quite, check your math again f(-7) = -(-7) + 4 = ?
anonymous
  • anonymous
F(-7)=-7+4 F(-7)=-3 F(g(2))=-7 right? :) @vocaloid
Vocaloid
  • Vocaloid
uh... not quite... what is -(-7)?
Vocaloid
  • Vocaloid
hint: -(-a) = a
anonymous
  • anonymous
the answer for g(x) function
Vocaloid
  • Vocaloid
no, can you please answer my question? -(-7) = ? hint: -(-a) = a
anonymous
  • anonymous
I do not know
anonymous
  • anonymous
I'm a bit slow right now sorry
Vocaloid
  • Vocaloid
well, ok, we know that f(-7) = -(-7) + 4, right? -(-7) = 7, so f(x) = 7 + 4 = 11 11 is our answer
Vocaloid
  • Vocaloid
full explanation: the question asked for f(g(x)) when x = 2 that means, plug in 2 for x to find g(2) g(2) = -7, so we plug in -7 for x in f(x) f(-7) = 11, meaning f(g(2)) = 11
anonymous
  • anonymous
but how did you get that negative in front of the perentheses
Vocaloid
  • Vocaloid
f(x) = -x+4 x = -7 f(x) = -(-7) + 4
anonymous
  • anonymous
oh so the negative of the other x was still be in play
Vocaloid
  • Vocaloid
yup!
anonymous
  • anonymous
that's what i was missing hahah:) i might be a dumbarse but thanks a lot you're a really good helper :)
anonymous
  • anonymous
@Vocaloid

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