Question

Study the equations:
f(x) = 6x + 7
g(x) = 4x – 2
What is h(x) = f(x)g(x)?

A) h(x) = 24x^2 – 14
B) h(x) = 24x^2 + 40x + 14
C) h(x) = 24x^2 + 16x – 14
D) h(x) = 24x^2 + 12x – 14

Answer 1

Given:

f(x) = 6x + 7

g(x) = 4x – 2.

To find:

The value of h(x) = f(x)g(x).

Solution:

1) The given expression h(x) = f(x)g(x) is just the product of the given functions f(x) and g(x).

2) Now we will the solve the product of the expression by the Distribution method.

h(x) = f(x)g(x)

• (6x + 7)(4x – 2)

• 6x(4x – 2)+7(4x – 2)

• 24x² - 12x + 28x -14

• 24x² + 16x – 14

Hence the correct option is (C) h(x) = 24x^2 + 16x – 14

The value of h(x) = f(x)g(x) is 24x² + 16x – 14.

Answer 2

Answer:

b

Step-by-step explanation: