Questions
If is defined by , then equals
a
f(x)
b
-f(x)
c
f(-x)
d
2f(x)
detailed solution
Correct option is D
f:R→R f(x)=2x+x When x≥0,then f(x)=2x+x=3x When x<0, then f(x)=2x-x=x Now, when x≥0 f(3x)-f(-x)-4x=33x--x-4x=9x+x-4x =6x ∵x≥0 =23x=2fx ∴-x≤0 When x<0, f(3x)-f(-x)-4x=3x--3x-4x=2x=2f(x)Talk to our academic expert!
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