Slg0621
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if f(x)=(x^m+9)^2, which statement about f(x) is true? a. f(x) is an even function for all vaues of m. b.f(x) is an even function for all even values of m. c.f(x) is an odd function for all values of m. d.f(x) is an odd function for all odd values of m.​

Respuesta :

Medunno13

Answer: b. f(x) is an even function for all even values of m.

Step-by-step explanation:

[tex]f(x)=(x^m +9)^2[/tex]

If m is even, then [tex](-x)^m=x^m[/tex].

This means that [tex]f(-x)=(x^m+9)^2 \implies f(-x)=f(x)[/tex]

Thus, b is the correct answer.

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