Let f ∶ R → R and g ∶ R → R be defined by g(= xf(then
A. g is one-one if f is one-one
B. g is a differentiable function
C. g is integrable over any finite interval [a, b]:a, b ∈ R
D. g is differentiable at 0 if f is continuous at 0
Answer:D
Let f ∶ R → R and g ∶ R → R be defined by g(= xf(then
A. g is one-one if f is one-one B. g is a differentiable function C. g is integrable over any finite interval [a, b]:a, b ∈ R D. g is differentiable at 0 if f is continuous at 0