Question

The domain of definition of the function `f(x)={x}^({x})+[x]^([x])` is where `{dot}` represents fractional part and `[dot]` represent greatest integral function). `R-I` (b) `R-[0,1]` `R-{Iuu(0,1)}` (d) `Iuu(0,1)`
A. `R-I`
B. `R-{0,1)`
C. `R-{I cup (0,1)}`
D. `I cup (0,1)`

Answer 1

Correct Answer - C
` f(x)={x}^({x})+[x]^([x])`
Here, base {x} and [x] should not be zero.
Hence, ` x notin I " and " x notin [0,1).`
Thus, domain is `R-{I cup (0,1)}.`