rachellaraway
Answered

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If f(x) = x + 9 and g(x) = 9x – 4,
which statement is true?
Click on the correct answer.
3 is not in the domain of fºg.
3 is in the domain of fºg.

If Fx X 9 And Gx 9x 4 Which Statement Is True Click On The Correct Answer 3 Is Not In The Domain Of Fºg 3 Is In The Domain Of Fºg class=

Sagot :

MrRoyal

The true statement is (b) 3 is in the domain of f º g.

How to determine the true statement

The functions are given as:

[tex]f(x) = \sqrt{x + 9[/tex]

g(x) = 9x - 4

The function f º g(x) is calculated using:

f º g(x) = f(x)* g(x)

This gives

[tex]f\ o\ g(x) = \sqrt{x + 9} *(9x - 4)[/tex]

Set the radicand greater to 0

[tex]x + 9 \ge 0[/tex]

Solve for x

[tex]x \ge - 9[/tex]

This means that the domain is greater than or equal to -9

Hence, the true statement is (b) 3 is in the domain of f º g.

Read more about domain at:

https://brainly.com/question/1770447

#SPJ1

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