Answer:
( f + g ) (x) = [tex] 2 x^{2} + x - 4[/tex]
g(x) - f(x) = [tex] x^{2} - 2 x - 4[/tex]
Step-by-step explanation:
- f(x) = 4 x - 4 and g(x) = [tex] 2 x^{2} - 3 x[/tex]
( f + g ) (x) = f(x) + g(x)
= [tex] 4 x - 4 + 2 x^{2} - 2 x[/tex]
= [tex] 2 x^{2} + x -4[/tex]
2. g(x) = [tex] x^{2} + 1[/tex] and f(x) = 2 x + 5
g(x) - f(x) = [tex] x^{2} + 1 - (2 x + 5)[/tex]
= [tex] x^{2} + 1 - 2 x - 5[/tex]
= [tex] x^{2} - 2 x - 4[/tex]
