Question

Consider the two functions ( f(x)=4 x ) and g(x)=frac{12 x}{1+x} ), each restricted to the domain ( 0 leq x leq 2 ).

a. Complete the follo
c. i. Write the five input-output pairs for ea

Answer 1

The functions f(x) = 4x and g(x) = 12x/(1+x), each restricted to the domain 0 ≤ x ≤ 2, have different input-output pairs.

Step-by-step explanation:

The two functions, f(x) = 4x and g(x) = \frac {12x}{1+x}, are both restricted to the domain 0 ≤ x ≤ 2.

i. Five input-output pairs for f(x):

• (0, 0)
• (0.5, 2)
• (1, 4)
• (1.5, 6)
• (2, 8)

ii. Five input-output pairs for g(x):

• (0, 0)
• (0.5, \frac {6}{1.5})
• (1, \frac {12}{2})
• (1.5, \frac {18}{2.5})
• (2, \frac {24}{3})