Answer:
(i) 5
(ii) - 1
(iii) - 1
(iv) 0
(v) 1
(vi) 1
Step-by-step explanation:
See the graph attached to this question.
The blue graph shows y = f(x) and the red graph shows y = g(x).
(i) (f + g)(- 3) = f(-3) + g(-3) = 4 + 1 = 5
(ii) (g - f)(- 2) = g(- 2) - f(- 2) = 2 - 3 = - 1
(iii) (fg)(2) = f(2) × g(2) = (- 1) × (1) = - 1
(iv) [tex](\frac{g}{f})(3) = \frac{g(3)}{f(3)} = \frac{0}{- 3} = 0[/tex]
(v) (fog)(1) = f[g(1)] = f(1) = 1
(vi) (gog)(- 1) = g[g(-1)] = g(2) = 1 (Answer)
