Question

please help!

Suppose that F(x) = 3x and G(x) =5/x-6. Which statement best explains why x = 2 is not in the domain of G(F(x))?

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Answer 1

have u calculated G[F(x)]?

Answer 2

no

Answer 3

i don't know how to do that. that's why i'm asking.

Answer 4

first\[g[f(x)]=g[3x]\]
agree?

Answer 5

just substituting F(x)=3x

Answer 6

what's the result ?

Answer 7

now given \[g(x)=\frac{ 5 }{ x-6 }\]
so
when u are calculating g(3x) then u just have to substitute 3x in place of x
\[g(3x)=\frac{ 5 }{ 3x-6 }\]
ok got that?

Answer 8

so if u substitute x=2 in G[f(x)] it will have a zero denominator so the function will be undeifned
so what do u think is the correct option?

Answer 9

@sidsiddhartha A?

Answer 10

yeah A ^_^

Answer 11

thank you! ;)

Answer 12

no pro buddy :)