Given that \(P = {x : \text{x is a factor of 6}}\) is the domain
FURTHER MATHEMATICS
WAEC 2010
Given that \(P = {x : \text{x is a factor of 6}}\) is the domain of \(g(x) = x^{2} + 3x - 5\), find the range of x.
- A. {-1, 5, 13}
- B. {5, 13, 49}
- C. {1, 2, 3, 6}
- D. {-1, 5, 13, 49}
Correct Answer: D. {-1, 5, 13, 49}
Explanation
\(P = {x : \text{x is a factor of 6}} \implies P = {1, 2, 3, 6}\)
\(g(x) = x^{2} + 3x - 5\)
\(g(1) = 1^{2} + 3(1) - 5 = 1 + 3 - 5 = -1\)
\(g(2) = 2^{2} + 3(2) - 5 = 4 + 6 - 5 = 5\)
\(g(3) = 3^{2} + 3(3) - 5 = 9 + 9 - 5 = 13\)
\(g(6) = 6^{2} + 3(6) - 5 = 36 + 18 - 5 = 49\)
\(\therefore Range(g(x)) = {-1, 5, 13, 49}\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *