Question: If $f(x) = \cosh x + \sinh x$ and $f(p) = f(x).f(y)$, then the value of p is....

Question

If $f(x) = \cosh x + \sinh x$ and $f(p) = f(x).f(y)$ , then the value of p is.

Answer 1

$f(x) = e^{x}$

$f(x)f(y) = e^{x}.e^{y} = e^{x + y} = f(x + y) = f(p)$

$x + y = p$ .

Question: If \(f(x) = \cosh x + \sinh x\) and \(f(p) = f(x).f(y)\), then the value of p is....