Question

Show that each one of the following is an even function:
(i) f(x) = 1/x2 for all x Є R – {0} (ii) f(x)=ІxІ/(x2 + 1) for all x Є R

Answer 1

show f(-x)=f(x)

Answer 2

even function retain the same value when you negate the x

f(-x) = f(x)

Answer 3

how ????

Answer 4

show please

Answer 5

\[f(-x)=\frac{1}{(-x)^2}=\frac{1}{x^2}=f(x)\]

Answer 6

x = a ; and x = -a; solve for f(a) and f(-a) perhaps

Answer 7

\[f(-x)=\frac{|-x|}{(-x)^2+1}=\cdots\]