algebra 2

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for the pair of functions,f(x)=2x and g(x)=6x^2-3x+6
find the following pairs
a)(f 0 g)(x), b)(f 0 g)(-3) c) (g 0 f)(x) c)(g 0 f)(4)
I am haing trouble with these two, can you please help me
thankyou

  • algebra 2 -

    I will use the more traditional way of writing these

    (f 0 g)(x)
    = f(g(x))
    = f(6x^2 - 3x + 6)
    = 2(6x^2 - 3x + 6) or 12x^2 - 6x + 12

    (f 0 g)(-3))
    = 12(9) - 6(-3) + 12 = 138
    or
    g(-3) = 6(9) - 3(-3) + 6 = 69
    f(g(-3)) = f(69) = 138

    try the others the same way

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