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anonymous

  • one year ago

If f(x) = 3x + 2 and g(x) = 2x – 2, what is (f – g)(x)? x + 4 x – 2 x 5x – 2 x – 4

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  1. Jacob902
    • one year ago
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    example If F(x)=3x-2 and g(x)= 2x-1, then g(f(x)) is equal to what?

  2. anonymous
    • one year ago
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    I need help I don't know how to do this

  3. Jacob902
    • one year ago
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    g(f(x)) means that the function g is composed at the function f. You need to plug the value of f(x) into the function g and simplify. g(x) = 2x - 1 Replace x with the value of f(x) which is 3x - 2 and simplify. g(f(x)) = 2x - 1 g(3x - 2) = 2(3x - 2) - 1 g(3x - 2) = 6x - 4 - 1 g(3x - 2) = 6x - 5 So, g(f(x)) = 6x - 5

  4. Jacob902
    • one year ago
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    theres an example dont want to give it out

  5. Jacob902
    • one year ago
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    without learning

  6. Jacob902
    • one year ago
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    nothing

  7. anonymous
    • one year ago
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    so what is it? can u take me through the steps

  8. Jacob902
    • one year ago
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    If f(x)=3x^2+1 and g(x)=2x+2 find a) g^-1(x), the inverse of g(x) b) (fog^-1)(2)

  9. Jacob902
    • one year ago
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    If g(x) = 2x + 2, this means it takes an input value, doubles it, and then adds 2. The inverse will do the opposite, in the opposite order. So the inverse will first do the opposite of adding 2, so it subtracts 2, or x - 2. Then it does the opposite of multiplying, by dividing by 2, so (x-2) / 2. So g-1(x)= (x-2) / 2. To find (fog-1)(2), you start by putting 2 into g inverse for x . So g-1(2) = (2-2) /2 , so zero. Then, we put 0 into f, so f(0) = 3(0)2 + 1, so (fog-1)(2) = 1. Hope that helped.

  10. anonymous
    • one year ago
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    great explanation :)

  11. anonymous
    • one year ago
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    but what is the answer

  12. anonymous
    • one year ago
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    \[(f-g)(x)=f(x)-g(x)\] \[\therefore (f-g)(x)=(3x-2)-(2x-2)\] \[=3x-2-2x+2\] \[=3x-2x+2-2\] \[=x+0\] \[\therefore (f-g)(x)=x\]

  13. anonymous
    • one year ago
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    so it is x=0 right

  14. anonymous
    • one year ago
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    answer is x

  15. anonymous
    • one year ago
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    thanks

  16. anonymous
    • one year ago
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    cheers!

  17. anonymous
    • one year ago
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    If f(x) = 2x2 + 3x and g(x) = x – 2, what is (f + g)(2)? 16 14 12 10 8

  18. anonymous
    • one year ago
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    it is 14 right

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