Let f: R→R be defined by f(x) = cos x and g: R→R be defined by g(x

1.	Let f: R→R be defined by f(x) = cos x and g: R→R be defined by g(x) = ex then f o g is –1. cos (ex)2. ecosx3. x cosex4. ex cos x
Answer» Correct Answer - Option 1 : cos (e^x) CONCEPT: Let f: A → B and g: B → C be two functions. Then, the composition of f and g, denoted by g o f, is defined as the function g o f: A → C given by g o f (x) = g (f (x)), ∀ x ∈ A. CALCUATIONS: (f o g) (x) = f(g(x)) ⇒ f (e^x) = cos(e^x)

Let f: R→R be defined by f(x) = cos x and g: R→R be defined by g(x) = ex then f o g is –1. cos (ex)2. ecosx3. x cosex4. ex cos x

Answer» Correct Answer - Option 1 : cos (e^x)

CONCEPT:

Let f: A → B and g: B → C be two functions. Then, the composition of f and g, denoted by g o f, is defined as the function g o f: A → C given by g o f (x) = g (f (x)), ∀ x ∈ A.

CALCUATIONS:

(f o g) (x) = f(g(x))

⇒ f (e^x) = cos(e^x)

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Let f: R→R be defined by f(x) = cos x and g: R→R be defined by g(x) = ex then f o g is –1. cos (ex)2. ecosx3. x cosex4. ex cos x

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