Mathematics

Question

I have been asked this question and I substituted the value of x in f with g(x), and rearranged the equality but is incorrect. ​
I have been asked this question and I substituted the value of x in f with g(x), and rearranged the equality but is incorrect. ​

2 Answer

  • Answer:

    if fg(x)=6x+q

    then f(gx) =6x+q

    3(px+4)+p =6x+q

    3px+12+p = 6x+q

    3px+p = 6x+q-12

    make p the subject

    p( 3x+1) = 6x+q-12

    p= (6x + q -12 )/ 3x +1

  • Answer:

    p = 2 and q = 14

    Step-by-step explanation:

    f(g(x)) = 3(px + 4) + p

    f(g(x)) = 3px + 12 + p

    6x + q = 3px + 12 + p

    The trick here is to equate the coefficients.

    6 = 3p and q = 12 + p

    p = 2 and q = 14

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