The four statements are:
1. f of g(1) =0
2. f of g(10) =9
3. f of g(x) = f(g(x))=f(x^2+9) = square root of x^2+9
4. the function g is the inverse function of f
Let f(x) = square root of x-10 and g(x) = x^2+9 . Which of the following statements are true?
2015-07-01 4:38 pm
回答 (1)
2015-07-01 5:39 pm
✔ 最佳答案
1. √((1^2+9) - 10) = √(10-10) = 02. √((10^2+9) - 10) = √(109-10) = √99 = 3√11 ≠ 9
3. √((x^2+9) - 10) = √(x^2-1) ≠ √(x^2+9)
4. see 3. f(g(x)) ≠ x, so the functions are not inverse of each other.
Statement 1 is true.
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