Question

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

Answer 1

Explanation:

To find h(x), which is the product of f(x) and g(x), follow these steps:

Step 1: Start with the given equations:

f(x) = 6x + 7

g(x) = 4x - 2

Step 2: Write the equation for h(x) using f(x) and g(x):

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

Step 3: Substitute the expressions for f(x) and g(x) into the equation for h(x):

h(x) = (6x + 7) * (4x - 2)

Step 4: Apply the distributive property to multiply the terms:

h(x) = 24x^2 + 4x - 12x - 14

Step 5: Simplify the expression by combining like terms:

h(x) = 24x^2 - 8x - 14

So, the equation for h(x) is h(x) = 24x^2 - 8x - 14.

You can find h(x) by multiplying the expressions for f(x) and g(x) together. Substitute the expressions, apply the distributive property, and simplify the resulting expression by combining like terms to find the equation for h(x).