Barrelracing
  • Barrelracing
Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3. A) -91 b) -33 c) -25 d) 35
Mathematics
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Barrelracing
  • Barrelracing
Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3. A) -91 b) -33 c) -25 d) 35
Mathematics
chestercat
  • chestercat
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Michele_Laino
  • Michele_Laino
hint, by definition of compiste function, we can write this: \[\Large f\left( {g\left( x \right)} \right) = 2g\left( x \right) + 1 = 2\left( { - 5x + 2} \right) + 1 = ...?\]
Michele_Laino
  • Michele_Laino
please continue
Barrelracing
  • Barrelracing
do I have to plug something in or just solve?

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Michele_Laino
  • Michele_Laino
solve as an algebraic expression
Michele_Laino
  • Michele_Laino
hint: \[\Large 2\left( { - 5x + 2} \right) + 1 = - 10x + 4 + 1 = ...?\]
Barrelracing
  • Barrelracing
it all cancels out. -10x + 4 + 1 = -10x + 4 + 1
Michele_Laino
  • Michele_Laino
now simplify further, what do you get?
Michele_Laino
  • Michele_Laino
4+1=...?
Barrelracing
  • Barrelracing
5!!! :)
Michele_Laino
  • Michele_Laino
ok! so we got this: \[\Large f\left( {g\left( x \right)} \right) = - 10x + 5\]
Michele_Laino
  • Michele_Laino
please substitute x=3 at the right side, what do you get?
Barrelracing
  • Barrelracing
f(g(x)) = -25
Michele_Laino
  • Michele_Laino
that's right!
Michele_Laino
  • Michele_Laino
\[f\left( {g\left( 3 \right)} \right) = - 25\]
Barrelracing
  • Barrelracing
thank you so much for your help
Michele_Laino
  • Michele_Laino
:)

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