Answer:
f(x) × g(x) is equal to 6x^2 - 13x - 28
Explanation:
Given functions:
f(x) = 2x - 7
g(x) = 3x + 4
To find f(x) × g(x), we'll multiply the two functions together.
Step 1: Write down the functions to be multiplied:
f(x) × g(x) = (2x - 7) × (3x + 4)
Step 2: Apply the distributive property to multiply the terms:
f(x) × g(x) = 2x × (3x + 4) - 7 × (3x + 4)
Step 3: Multiply the first term of f(x) with each term in g(x):
2x × 3x = 6x^2
2x × 4 = 8x
The first term of f(x) has been multiplied with each term in g(x), resulting in 6x^2 and 8x, respectively.
Step 4: Multiply the second term of f(x) with each term in g(x):
-7 × 3x = -21x
-7 × 4 = -28
The second term of f(x) has been multiplied with each term in g(x), resulting in -21x and -28, respectively.
Step 5: Combine the like terms obtained from the multiplication:
f(x) × g(x) = 6x^2 + 8x - 21x - 28
The like terms, 8x and -21x, can be combined to get -13x.
Step 6: Simplify the expression:
f(x) × g(x) = 6x^2 - 13x - 28
The final result is 6x^2 - 13x - 28, which is the product of the two functions f(x) and g(x).
Therefore, f(x) × g(x) is equal to 6x^2 - 13x - 28.