Answer:
- 1) -12, 2) 22, 3) 9, 4) 31, 5) 4, 6) 3, 7) 5
Explanation:
Use table for f(x) related questions and equation for g(x) related questions and both for the last one.
Q1
- g(0) = 3*0 - 12 = 0 - 12 = - 12
Q2
- f(0) = 22, the value of f(x) against the x = 0
Q3
- g(7) = 3*7 - 12 = 21 - 12 = 9
Q4
- f(-3) = 31, the value of f(x) against the x = -3
Q5
- g(x) = 0 ⇒ 3x - 12 = 0 ⇒ 3x = 12 ⇒ x = 4
Q6
- f(x) = - 3, x = 3, the value of x against the f(x) = - 3
Q7
- f(g(6)) = f(3*6 - 12) = f(18 - 12) = f(6) = 5, the value of f(x) against x = 6