Question
Download Solution PDFComprehension
Directions: Read the following information and answer the two items that follow:
Let f(x) = x2, g(x) = tan x and h(x) = In x.
For
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If f :A → B and g : C → D. Then (fog) (x) will exist if and only if co-domain of g = domain of f i.e D = A and (gof) (x) will exist if and only if co-domain of f = domain of g i.e B = C.
Calculation:
Given: f(x) = x2, g(x) = tan x and h(x) = In x
⇒ [ho(gof)](x) = [h(g(x2))] = h(tan (x2)) = ln (tan (x2))
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