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.
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