NDA2019MathematicsFunctionsActual
Paragraph: Let f(x)=x^2+2 x-5 and g(x)=5 x+30 Question: Consider the following statements: 1. f[g(x)] is a polynomial of degree 3 . 2. g[g(x)] is a polynomial of degree 2 . Which of the above statements is/are correct?
Options
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Correct answer
D. Neither 1 nor 2
Step-by-step solution
(i) f(g(x))=(5 x+30)^2+2(5 x+30)-5 f(g(x)) is second degree. (ii) g(g(x))=5(5 x+30)+30 g(g(x)) is first degree both statements are wrong.