JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

Let

f(x)=\sin x-\cos x

and

g(x)=\log \sqrt{5} x

; then the range of

g(\sqrt{2} f(x)+3)

View answer and explanation

Correct option: B

[0,2]

Option D ([0,2]) is correct because it represents the range of the composite function

g(\sqrt{{2}}f(x)+3)

considering the range of

f(x)

and the properties of the logarithm function.

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