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 –

cos (ex)

ecosx

x cosex

ex cos 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 – Correct Answer cos (ex)

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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Feb 20, 2025

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 –

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