FunctionHard
Question
f(x) = |x - 1|, f: R+ → R, g(x) = ex, g : [- 1, ∞) → R. If the function fog (x) is defined, then its domain and range respectively are:
Options
A.(0, ∞) and [0, ∞)
B.[- 1, ∞) and [0, ∞)
C.[- 1, ∞) and 
D.[- 1, ∞) and 
Solution
f(x) = |x - 1| f : R+ → R
g(x) = ex, g : [-1, ∞) → R
fog(x) = f[g(x)] = |ex - 1|
D : [-1, ∞)
R : [0, ∞)
g(x) = ex, g : [-1, ∞) → R
fog(x) = f[g(x)] = |ex - 1|
D : [-1, ∞)
R : [0, ∞)
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