Question

Please answer this question for me as i do not understand it

Answer 1

Answer:

p = 2, q = 14

Step-by-step explanation:

Evaluate f(g(x)) and compare to 6x + q

To evaluate f(g(x)) substitute x = g(x) into f(x), that is

f(g(x))

= f(px + 4)

= 3(px + 4) +p ← distribute and simplify

= 3px + 12 + p

Now f(g(x)) = 6x + q

Comparing like terms between the 2 expressions

3px = 6x, that is

3p = 6 ( divide both sides by 3 )

p = 2

And

q = 12 + p = 12 + 2 = 14