Consider the functions: f(x) = x 2 − 2x & g(x) = −3x − 1 | Determine each of the following: i. f(1) + f(3) b. 2f(5) iii. g(−2b) iv. f(c + 1) − g(c)

Question

i. f(1) + f(3)

ii. 2f(5)

iii. g(−2b)

iv. f(c + 1) − g(c)

Answer 1

f(x) = x^2 -2x

f(1) + f(3) = 1-2 +9-6 = 2

2f(5) = 2(25-10) = 30

g(x)= -3x -1

g(-2b) = -3(-2b) -1 = 6b -1

f(c+1) - g(c) = -(c+1)^2 - 2(c+1) -[-3c -1]

= -c^2 -2c -1 -2c -2 +3c +1

= -c^2 -c -2