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Mathematics 13 Online
zarkam21:

Last question ughhh

zarkam21:

1 attachment
Vocaloid:

g(x) is just the expression within the square root symbol

zarkam21:

3x-4?

Vocaloid:

good

Vocaloid:

f(x) is just what is being applied to g(x), which is just taking the square root

Vocaloid:

so f(x) = sqrt(x)

Vocaloid:

by defining f(x) and g(x) this way, we are making f(g(x)) = sqrt(3x-4)

zarkam21:

for part I do I put the sqrt symbol or just 3x-4

Vocaloid:

no square root symbol just 3x - 4

zarkam21:

okay

zarkam21:

so for part II

Vocaloid:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid so f(x) = sqrt(x) \(\color{#0cbb34}{\text{End of Quote}}\)

Vocaloid:

that's II

zarkam21:

so f(x)=sqrt(x) is II

Vocaloid:

yes

Vocaloid:

soo for part III you are just verifying that f(g(x)) = sqrt(3x-4) so you would just start with f(x) = sqrt(x) and then substitute g(x) for x inside f(x)

zarkam21:

wait g(x) is 3x-4 right

Vocaloid:

yes

zarkam21:

f(3x-4)=sqrt(3x-4)

Vocaloid:

awesome, so you have completed the verification. to answer this question you would just show your work for: f(x) = sqrt(x) and then f(g(x)) = sqrt(g(x)) = sqrt(3x-4)

zarkam21:

well they are only asking for the verification right?

Vocaloid:

yes

zarkam21:

so I don't have to put the solved part

Vocaloid:

well, you would still have to show your work

Vocaloid:

"verify" means they want you to show that the original statement is true using your own calculations/reasoning/etc.

zarkam21:

Right, I understand what you're saying

zarkam21:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid awesome, so you have completed the verification. to answer this question you would just show your work for: f(x) = sqrt(x) and then f(g(x)) = sqrt(g(x)) = sqrt(3x-4) \(\color{#0cbb34}{\text{End of Quote}}\)

zarkam21:

so I would just write what you have here to show work ?

Vocaloid:

yeah

zarkam21:

okay thank you so much

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