Tamarah2552 Tamarah2552

09-06-2022
Mathematics

contestada

If it is known that function f is odd and function g is even. determine if the following
functions are odd, even, or neither odd nor even.
1/g(x)

Respuesta :

profarouk profarouk

10-06-2022

Answer:

[tex]\frac{1}{g}\ \text{ is an even function}[/tex]

Step-by-step explanation:

Considers the function h defined by :

h(x) = 1/g(x)

g is an even function means g(-x) = g(x)

then

h(-x) = 1/g(-x) = 1/g(x) = h(x)

Therefore

h is an even function.

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