## anonymous one year ago 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)

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1. Michele_Laino

part A) hint: by definition, we have: $\Large \left( {a + b} \right)\left( x \right) = a\left( x \right) + b\left( x \right)$

2. anonymous

so would it be 5x+2

3. Michele_Laino

correct!

4. anonymous

how would i go about doing the other ones?

5. Michele_Laino

part B) again, by definition, we can write: $\Large \left( {a \cdot b} \right)\left( x \right) = a\left( x \right) \cdot b\left( x \right)$

6. anonymous

how would I do that

7. Michele_Laino

you have to multiply your function, like below: $\Large \left( {a \cdot b} \right)\left( x \right) = a\left( x \right) \cdot b\left( x \right) = \left( {3x + 10} \right) \cdot \left( {2x - 8} \right) = ...$

8. Michele_Laino

functions*

9. anonymous

so would it be 6x -80

10. anonymous

@Michele_Laino

11. Michele_Laino

I got 6x^2-4x-80

12. anonymous

I don't get it

13. 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: $\large a\left\{ {b\left( x \right)} \right\} = 3\left\{ {b\left( x \right)} \right\} + 10 = 3 \cdot \left( {2x - 8} \right) + 10=...$

14. anonymous

so it would be 6x-14 right @Michele_Laino

15. anonymous

thank you so much for your help!!! @Michele_Laino

16. Michele_Laino

:)