3 years ago

Find the values of p and q

Mathematics

1 answer:

VashaNatasha [74]3 years ago

6 0

Answer:

p = 2 and q = 14

Step-by-step explanation:

Evaluate f(g(x)) by substituting x = g(x) into f(x), that is

f(px + 4)

= 3(px + 4) + p = 3px + 12 + p

f(g(x)) = 3px + 12 + p and f(g(x)) = 6x + q

Equating the 2 expressions gives

3px + 12 + p = 6x + q

Compare the coefficients of like terms and the constant term

For the 2 expressions to be equal then

3p = 6 ⇒ p = 2 , and

q = 12 + p = 12 + 2 = 14

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