Respuesta :
Answer:
- 3 and x² + 2x - 3
Step-by-step explanation:
(a)
To evaluate g(1) substitute x = 1 into g(x)
g(1) = 1² - 4 = 1 - 4 = - 3
(b)
Substitute x = x + 1 into g(x)
g(x + 1) = (x + 1)² - 4 ← expand parenthesis using FOI
= x² + 2x + 1 - 4 ← collect like terms
= x² + 2x - 3
Step-by-step explanation:
if g(x) = 2x - 4
we consider g(x) = g(1)
g(1) = (2×1) -4
= 2 - 4
= -2
we consider g(x) = g(x+1)
g(x+1) = 2x(x+1) -4
= (2x² +2x) -4. ÷2
= x² + x -2
=(x+2) (x-1)
= x+2 = 0. = x-1 = 0
= x = 0-2. = x = 0+1
= x = -2. = x = 1
s.s = {-2,1}