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Answer :
Answer:
2x² - 9x - 35
Step-by-step explanation:
f(x) × g(x) = (x - 7)(2x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 5) - 7(2x + 5) ← distribute both parenthesis
= 2x² + 5x - 14x - 35 ← collect like terms
= 2x² - 9x - 35
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Rewritten by : Barada
The result of f(x) * g(x) is 2x^2 - 9x - 35.
If f(x) = x - 7 and g(x) = 2x + 5, then to find f(x) * g(x), we need to multiply the two functions together.
Here's the step-by-step multiplication process:
Multiply the first term of f(x) by each term of g(x): x * (2x + 5) = 2x2 + 5x.
Add the results from steps 1 and 2 to get the final result: 2x^2 + 5x - 14x - 35.
Combine like terms: 2x^2 + (5x - 14x) - 35 = 2x^2 - 9x - 35.
Therefore, the product f(x) * g(x) is 2x^2 - 9x - 35.