Question

If f(x)=3 x and g(x)= 1/x , what is the domain of (g o f)(x)?

Answer 1

Domain will be x>0 or x<0 and x≠0

Explanation:

f(x) = 3x

g(x) = 1/x

(gof)(x) = ?

(gof)(x) = g(f(x))

(gof)(x) = 1/(3x)

The domain of a function is a set of values for which the function is defined.

Find the points for which the function (gof)(x) = 1/(3x) is undefined.

if x=0 then the function is undefined.

So, domain will be x>0 or x<0 and x≠0