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UPSC NDA 2 2019 Mathematics Solved Paper

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Directions (Q. Nos. 91 to 93): Read the following information and answer the three items that follow:

Let

f(x)=x^2+2x–5

and

g(x)=5x+30

[NDA II 2019]

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Question : 92 of 120

Marks: +1, -0

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?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Solution: 👈: Video Solution

f[g(x)]=(5x+30)^2+2(5x+30)-5

=25x^2+900+300x+10x+60–5

=25x^2+310x+955

Here, f[g(x)] is a polynomial of degree 2

2.

g[g(x)]=5(5x+30)+30=25x+150+30

=25x+180

Here g[g(x)] is polynomial of degree 1.

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