Let f and g be continuous functions on the interval ( -$\infty$ , $\infty$ ) such that f has a zero on the closed interval I, and g has a zero on the closed interval.Which of the following functions must have at least one zero on the closed interval I ?
A) f g , g f
B) f + g , f - g
C) f g , g f
D) ,
E) none of the above.

Question

Let f and g be continuous functions on the interval ( -$\infty$ , $\infty$ ) such that f has a zero on the closed interval I, and g has a zero on the closed interval.Which of the following functions must have at least one zero on the closed interval I ?
A) f g , g f 
B) f + g , f - g 
C) f g , g f 
D) , 
E) none of the above.

Quizplus · Accepted Answer

The Answer of Let f and g be continuous functions on the interval ( -$\infty$ , $\infty$ ) such that f has a zero on the closed interval I, and g has a zero on the closed interval.Which of the following functions must have at least one zero on the closed interval I ?
A) f g , g f 
B) f + g , f - g 
C) f g , g f 
D) , 
E) none of the above.

Let F and G Be Continuous Functions on the Interval ∞\infty∞

Let F and G Be Continuous Functions on the Interval $\infty$