f gx ln x 1 f o gx 3lnx 1 f gx ln x 1 f o gx ln 3x 1 Solutio

(f g)(x) (ln (x) 1) (f o g)(x) 3ln(x) 1 (f g)(x) (ln (x 1) (f o g)(x) ln (3x) 1

Solution

Dear Student

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a)

Given

f(x) = ln x + 1

g(x) = x^3

fOg(x) = ln (x^3) + 1

= 3 lnx + 1    => Option B

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b) Answer shall be (x+5)^2 on the set of integers.

c) Since x is an integer Correct option is a) i.e. function y shall be real unit and unless mod(x) < 3

d) Correct Option is option c since ln is not defined for ingetive numbers. Also denominator cannot be 0, so x Can never be equal to 1.

Hence solved