Consider the functions: f(x) = x 2 − 2x & g(x) = −3x − 1 | Determine each of the following:

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) = 2(15)= 30

g(x) =-3x-1

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

g(c+1) - g(c) = -3c -3 -1 -([-3c) -1] = -3

UNLESS the g(x)'s | vertical line after the 1 is either supposed to make it an 11? or maybe it's an absolute value sign, where the first sign got left out?