For every pair of continuous functions `f, g : [0, 1] -> R` such that max.`{f(x):x in [0,1]}=max.{g(x):x in [0,1]}`,
The correct statement(s) is (are)

For every pair of continuous functions `f, g : [0, 1] -> R` such that max.`{f(x):x in [0,1]}=max.{g(x):x in [0,1]}`,

The correct statement(s) is (are)

`(f(c))^2+3f(c)=(g(c))^2+3g(c)` for some c `in [0,1]`

`(f(c))^2+f(c)=(g(c))^2+3g(c)` for some c `in [0,1]`

`(f(c))^2+3f(c)=(g(c))^2+g(c)` for some c `in [0,1]`

`(f(c))^2=2(g(c))^2` for some c `in [0,1]`

Solution

0 votes

Best answer

Here , f(x) & g(x) are continuous function in [0,1] then there exist x `in`[0,1] such that f(x)=g(x)