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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

Let

g(x)=1+x-[x]

and

f(x)=\operatorname{sgn} x

. Then for all

x, f \circ g(x)

is equal to

View answer and explanation

Correct option: B

1

Option B (1) is correct because

g(x)

is always greater than 0, making

f(g(x))

equal to 1 since

f(x) = sgn(x)

.

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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f\left( x \right) = x - \left[ x \right]

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