Question

Given the parent functions f(x) = 5x – 1 and g(x) = 3x - 9, what is g(x) – f(x)?

a) 3x – 8 - 5x

b) 3x - 10 - 5x

c) -2x - 8 - 3x

d) -2x - 10 - 3x

Answer 1

To calculate g(x) - f(x), subtract the corresponding terms of f(x) = 5x - 1 from g(x) = 3x - 9, resulting in -2x - 8.

Step-by-step explanation:

To find g(x) - f(x) given the parent functions f(x) = 5x – 1 and g(x) = 3x - 9, we perform the subtraction operation g(x) - f(x):

• First, write down the functions: g(x) = 3x - 9 and f(x) = 5x - 1.
• Subtract f(x) from g(x): (3x - 9) - (5x - 1).
• Simplify the expression by distributing the negative sign through the second parentheses: 3x - 9 - 5x + 1.
• Combine like terms to get the final result: -2x - 8.

Therefore, the answer to g(x) - f(x) is -2x - 8.