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

Question

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

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Liliana 2 weeks 2021-09-12T06:18:10+00:00 1 Answer 0

Answers ( )

  1. Charlotte
    0
    2021-09-12T06:19:35+00:00

    Answer:

    Domain will be x>0 or x<0 and x≠0

    Step-by-step 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

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