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Statement-1: Suppose f(x)=2^x+1a n d\...

Statement-1: Suppose `f(x)=2^x+1a n d\ g\ (x)=4^(-x)+2^(-x)` . The equation `f(x)\ =\ g(x)` has exactly one root. Statement-2: If `f(x)\ a n d\ g(x)` are two differentiable functions defined for all `x\ in R\ ` and if`\ f(x)\ \ i s` strictly increasing and `g(x)` in strictly decreasing for every `x\ in R` then the equation `f(x)\ =\ g(x)` must have exactly one root.

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