Question

Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x) = f(x) ÷ g(x).

f(x) = x2 − 9, and g(x) = x − 3
f(x) = x2 − 4x + 3, and g(x) = x − 3
f(x) = x2 + 4x − 5, and g(x) = x − 1
f(x) = x2 − 16, and g(x) = x − 4
h(x) = x + 5
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h(x) = x + 3
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h(x) = x + 4
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h(x) = x − 1
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Answer 1

1. x + 3

2. x - 1

3. x + 5

4. x + 4

Explanation:

1. If f(x) = x² - 9 and g(x) = x - 3, then h(x) = f(x) ÷ g(x) = (x² - 9) ÷ (x - 3) = [(x + 3)(x - 3)] ÷ (x - 3) = x + 3

2. If f(x) = x² - 4x + 3 and g(x) = x - 3, then h(x) = f(x) ÷ g(x) = (x² - 4x + 3) ÷ (x - 3) = [(x - 1)(x - 3)] ÷ (x - 3) = x - 1

3. If f(x) = x² + 4x - 5 and g(x) = x - 1, then h(x) = f(x) ÷ g(x) = (x² + 4x - 5) ÷ (x - 1) = [(x - 1)(x + 5)] ÷ (x - 1) = x + 5

4. If f(x) = x² - 16 and g(x) = x - 4, then h(x) = f(x) ÷ g(x) = (x² - 16) ÷ (x - 4) = [(x - 4)(x + 4)] ÷ (x - 4) = x + 4. (Answer)