Question

find domain and range of 1+3cos(2x)
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Answer 1

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Answer 2

Let f(x) = 1 + 3 cos 2x

f(x) is defined ∀x ∈ R

Hence, the domain of f(x) = ( − ∞, + ∞)

Now, We Know that Cos Function lies

between -1 to 1

So putting These Value We get

Maximum Value = 1 + 3*1 = 4

Minimum Value = 1 + 3*(-1)= -2

So the range of f(x) is [-2,4]...