anonymous
  • anonymous
Use the functions a(x) = 3x + 10 and b(x) = 2x − 8 to complete the function operations listed below. Part A: Find (a + b)(x). Show your work. (3 points) Part B: Find (a ⋅ b)(x). Show your work. (3 points) Part C: Find a[b(x)]. Show your work. (4 points)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Michele_Laino
  • Michele_Laino
part A) hint: by definition, we have: \[\Large \left( {a + b} \right)\left( x \right) = a\left( x \right) + b\left( x \right)\]
anonymous
  • anonymous
so would it be 5x+2
Michele_Laino
  • Michele_Laino
correct!

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anonymous
  • anonymous
how would i go about doing the other ones?
Michele_Laino
  • Michele_Laino
part B) again, by definition, we can write: \[\Large \left( {a \cdot b} \right)\left( x \right) = a\left( x \right) \cdot b\left( x \right)\]
anonymous
  • anonymous
how would I do that
Michele_Laino
  • Michele_Laino
you have to multiply your function, like below: \[\Large \left( {a \cdot b} \right)\left( x \right) = a\left( x \right) \cdot b\left( x \right) = \left( {3x + 10} \right) \cdot \left( {2x - 8} \right) = ...\]
Michele_Laino
  • Michele_Laino
functions*
anonymous
  • anonymous
so would it be 6x -80
anonymous
  • anonymous
@Michele_Laino
Michele_Laino
  • Michele_Laino
I got 6x^2-4x-80
anonymous
  • anonymous
I don't get it
Michele_Laino
  • Michele_Laino
you have to compute this: \[\large \left( {a \cdot b} \right)\left( x \right) = a\left( x \right) \cdot b\left( x \right) = \left( {3x + 10} \right) \cdot \left( {2x - 8} \right) = ...\] please use the "foil" method Part C) again, by definition, we get: \[\large a\left\{ {b\left( x \right)} \right\} = 3\left\{ {b\left( x \right)} \right\} + 10 = 3 \cdot \left( {2x - 8} \right) + 10=...\]
anonymous
  • anonymous
so it would be 6x-14 right @Michele_Laino
anonymous
  • anonymous
thank you so much for your help!!! @Michele_Laino
Michele_Laino
  • Michele_Laino
:)

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