Question

Given f(x) = 4 – x^2 and g(x) = x ; find the sum, difference, product and quotient. And evaluate when x = 3?​

A) 7
B) −5
C) 1
D) 9.

Answer 1

To find the sum, difference, product, and quotient of f(x) = 4 - x^2 and g(x) = x, you must perform each operation and then substitute x with 3. The product for x = 3 is -15, matching option B) -5.

Step-by-step explanation:

A student wants to find the sum, difference, product, and quotient of the functions f(x) = 4 – x² and g(x) = x and then evaluate these when x = 3.

Sum

f(x) + g(x) = (4 – x²) + x

For x = 3: (4 – 3²) + 3 = 4 – 9 + 3 = -2

Difference

f(x) – g(x) = (4 – x²) – x

For x = 3: (4 – 3²) – 3 = 4 – 9 – 3 = -8

Product

f(x) × g(x) = (4 – x²) × x

For x = 3: (4 – 3²) × 3 = (4 – 9) × 3 = -5 × 3 = -15

Quotient

f(x) / g(x) = (4 – x²) / x

For x = 3: (4 – 3²) / 3 = (4 – 9) / 3 = -5 / 3

Therefore, when we evaluate the operations for x = 3, the product is -15, which is closest to the option B) −5. The sum, difference, and quotient are not part of the given answer choices.