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anonymous

  • one year ago

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

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  1. Vocaloid
    • one year ago
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    first step is to solve g(x) when x = 2 then take the result and plug it into f(x)

  2. anonymous
    • one year ago
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    Do I divide 2 to -2x and -3? @Vocaloid

  3. Vocaloid
    • one year ago
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    ... huh? let's take it one step at a time: what is g(x) when x = 2?

  4. anonymous
    • one year ago
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    okay so g(2)=-2x-3 what do I do next with this funtion? @Vocaloid

  5. Vocaloid
    • one year ago
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    plug in 2 for x and tell me what you get when you solve it

  6. anonymous
    • one year ago
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    I'm a bit unsure if it's right but negative 7

  7. Vocaloid
    • one year ago
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    yup! g(2) = -7 alright, so now let's plug in -7 for x using f(x)

  8. anonymous
    • one year ago
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    f(-7)=-4(-7)=9 I'm I wrong at some part? @Vocaloid

  9. Vocaloid
    • one year ago
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    uh, not quite f(x) = -x+4, remember?

  10. Vocaloid
    • one year ago
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    if x = -7, what is f(x)?

  11. anonymous
    • one year ago
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    oh that was my fault I plugged it in for the wrong problem @Vocaloid

  12. anonymous
    • one year ago
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    instead of the x it would be F(-7) Am I right? @Vocaloid

  13. Vocaloid
    • one year ago
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    yup, so what is our answer? :)

  14. anonymous
    • one year ago
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    F(-7)=-7+4 F(-7)=-3 what am I going to use F(-7) for? @Vocaloid

  15. Vocaloid
    • one year ago
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    not quite, check your math again f(-7) = -(-7) + 4 = ?

  16. anonymous
    • one year ago
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    F(-7)=-7+4 F(-7)=-3 F(g(2))=-7 right? :) @vocaloid

  17. Vocaloid
    • one year ago
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    uh... not quite... what is -(-7)?

  18. Vocaloid
    • one year ago
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    hint: -(-a) = a

  19. anonymous
    • one year ago
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    the answer for g(x) function

  20. Vocaloid
    • one year ago
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    no, can you please answer my question? -(-7) = ? hint: -(-a) = a

  21. anonymous
    • one year ago
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    I do not know

  22. anonymous
    • one year ago
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    I'm a bit slow right now sorry

  23. Vocaloid
    • one year ago
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    well, ok, we know that f(-7) = -(-7) + 4, right? -(-7) = 7, so f(x) = 7 + 4 = 11 11 is our answer

  24. Vocaloid
    • one year ago
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    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

  25. anonymous
    • one year ago
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    but how did you get that negative in front of the perentheses

  26. Vocaloid
    • one year ago
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    f(x) = -x+4 x = -7 f(x) = -(-7) + 4

  27. anonymous
    • one year ago
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    oh so the negative of the other x was still be in play

  28. Vocaloid
    • one year ago
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    yup!

  29. anonymous
    • one year ago
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    that's what i was missing hahah:) i might be a dumbarse but thanks a lot you're a really good helper :)

  30. anonymous
    • one year ago
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    @Vocaloid

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