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Recent questions tagged continuity
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GATE Electrical 2017 Set 2 | Question: 26
Let $ g(x)= \begin{cases} -x & \ x \leq 1 \\ x+1 & \ x \geq 1 \end{cases}$ and $ f(x)= \begin{cases} 1-x & \ x \leq 0 \\ x^{2} & \ x > 0 \end{cases}$. Consider the composition of $f$ and $g$ ... $(f {\circ} g) (x)$ present in the interval $(-\infty, 0)$ is: $0$ $1$ $2$ $4$
Arjun
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Calculus
Feb 27, 2017
by
Arjun
9.3k
points
gate2017-ee-2
calculus
continuity
0
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0
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2
GATE Electrical 2015 Set 1 | Question: 2
If a continuous function $f(x)$ does not have a root in the interval $[a, b]$, then which one of the following statements is TRUE? $f(a) . f(b)=0$ $f(a) . f(b) < 0$ $f(a) . f(b) > 0$ $f(a) / f(b) \leq 0$
makhdoom ghaya
asked
in
Calculus
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
calculus
continuity
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