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Destinyyyy

  • one year ago

For f(x)=3x and g(x)=x+6, find the following functions. A. (f*g)(x) B. (g*f)(x) C. (f*g)(2) D. (g*f)(2)

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  1. Destinyyyy
    • one year ago
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    For A. I got 3x+18 For B. I got 3x+6 I'm stuck on C.

  2. james1769
    • one year ago
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    6+12

  3. Destinyyyy
    • one year ago
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    I assume that's the answer for C.. I want to know how to solve it.

  4. Destinyyyy
    • one year ago
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    @Nnesha

  5. james1769
    • one year ago
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    the same way u solved for the others

  6. Destinyyyy
    • one year ago
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    If I solve it the same way I did the other two I get stuck at 3(g(2))

  7. james1769
    • one year ago
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    oh

  8. Nnesha
    • one year ago
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    substitute x for g(2) into f(x) function

  9. Destinyyyy
    • one year ago
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    So 3(g(x)) ?

  10. Nnesha
    • one year ago
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    btw A is wrong

  11. Destinyyyy
    • one year ago
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    How is it wrong? I followed the example.

  12. Nnesha
    • one year ago
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    when we multiply same bases we should `ADD` their exponents so 3x times x =?

  13. Destinyyyy
    • one year ago
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    This is my first time doing this type of problem so I dont really know what im doing.

  14. Nnesha
    • one year ago
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    x is same as x to the one power apply the rule when we multiply same bases we should `add` exponents \[\huge\rm x^m \times x^n=x^{m+n}\]

  15. Destinyyyy
    • one year ago
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    Where are you getting a second x from?

  16. Nnesha
    • one year ago
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    we should multiply g(x) by f(x)

  17. Destinyyyy
    • one year ago
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    My example told me to do this- (f*g)(x)= f(g(x))= 3(g(x))= 3(x+6)= 3x+18 It doesn't have x^2

  18. Nnesha
    • one year ago
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    well (f*g)(x) means f(x) times g(x)

  19. Nnesha
    • one year ago
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    where did you get that example ?

  20. Destinyyyy
    • one year ago
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    My examples says (f*g)(x) means f(g(x)). My online class on Pearson. Its a system example.

  21. Nnesha
    • one year ago
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    f(g(x)) composition means (f o g)(x) where you should substitute x for g(x) into f(x) function

  22. Destinyyyy
    • one year ago
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    Yeah.

  23. Nnesha
    • one year ago
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    so (f *g)(x) means f(x) times g(x) ^^^product of two function

  24. Destinyyyy
    • one year ago
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    I entered my answer for the assignment and it says its correct.

  25. Nnesha
    • one year ago
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    what do you mean by `*` sign is it multiplication ?

  26. Destinyyyy
    • one year ago
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    My examples for C does this- f(x)=3x g(x)=x+7 (f*g)(5), find the value of (f*g)(x) when x=5. (f*g)(x)= 3x+21 (f*g)(5)= 3(5)+21 36

  27. Destinyyyy
    • one year ago
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    Yes * means multiply

  28. Nnesha
    • one year ago
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    looks at this http://home.windstream.net/okrebs/page42.html (f*g)(x) means f(x) times g(x)

  29. Destinyyyy
    • one year ago
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    For that example above its not clear where the 21 comes from.

  30. Nnesha
    • one year ago
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    x+6 or x+7 ? g(x)^^

  31. Destinyyyy
    • one year ago
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    x+7 is the example from the system. x+6 is the problem im working on. And the link you posted- I worked on that 2 problems ago.

  32. Nnesha
    • one year ago
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    well in that example the replaced x from with x+7 in f(x) function \[\large\rm f(x)=3\color{Red}{x} ~~~g(x) ~~~\large\rm f(x+7)=3(\color{ReD}{x+7})\]=\color{Red}{x+7}\]

  33. Nnesha
    • one year ago
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    so when you distribute parentheses by 3 you will get 3x +21 3 times 7 = 21

  34. Destinyyyy
    • one year ago
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    Okay. I thought it was that but wasn't sure. So the answer for C is 33.

  35. Destinyyyy
    • one year ago
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    Sorry 24..

  36. Nnesha
    • one year ago
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    yes 24 is correct according to that example

  37. Destinyyyy
    • one year ago
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    And the answer for D. is 13

  38. Destinyyyy
    • one year ago
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    Sorry 12.

  39. Nnesha
    • one year ago
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    yes right

  40. Destinyyyy
    • one year ago
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    Okay. Thank you.

  41. Nnesha
    • one year ago
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    yw

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