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mathcalculus

  • 2 years ago

For the following functions, f and g, determine (a) f(g(x)) (b) g(f(x)) If f(x)= 7x+4 and g(x)-10x+6 , then (a) f(g(x)) (b) g(f(x))

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  1. mathcalculus
    • 2 years ago
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    help :(

  2. satellite73
    • 2 years ago
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    it is \(g(x)=10x+6\) ?

  3. mathcalculus
    • 2 years ago
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    -10x + 6

  4. satellite73
    • 2 years ago
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    ok

  5. mathcalculus
    • 2 years ago
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    would you be able to help me with this problem?

  6. satellite73
    • 2 years ago
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    \[f(g(x))=f(-10x+6)=7(-10x+6)+4\] then some algebra to clean up the answer

  7. satellite73
    • 2 years ago
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    you got this?

  8. mathcalculus
    • 2 years ago
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    oh so basically we plug them in together equaling to each other?

  9. satellite73
    • 2 years ago
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    oh no not equal to each other

  10. mathcalculus
    • 2 years ago
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    okay from the basic algebra how do we find f(g(x))?

  11. satellite73
    • 2 years ago
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    look at the steps i wrote first i wrote \(f(g(x))\) then i replaced \(g(x)\) by your \(g(x)\) namely \(-10x+7\)

  12. mathcalculus
    • 2 years ago
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    so I got this: -70X + 46 = -70X-40

  13. satellite73
    • 2 years ago
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    then evaluate the function \(f\) replacing \(x\) by \(-10x+7\)

  14. satellite73
    • 2 years ago
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    there is no equation to solve here

  15. mathcalculus
    • 2 years ago
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    -10x+6

  16. satellite73
    • 2 years ago
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    the solution is \[f(g(x))=f(-10x+6)=7(-10x+6)+4=-70x+42+4=-70x+46\]

  17. mathcalculus
    • 2 years ago
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    right... -70x + ......

  18. mathcalculus
    • 2 years ago
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    I did the exact same thing. Am i missing something here?

  19. mathcalculus
    • 2 years ago
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    -70x +46 ....right

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