The given function is : y= f(x) =![49 [\frac{1}{7}]^x](https://tex.z-dn.net/?f=49%20%5B%5Cfrac%7B1%7D%7B7%7D%5D%5Ex)
The statements which are true regarding this function is
1. As you can observe that y is defined for all values of x , so Domain is set of all values that x can take which is set of all real numbers.
2. Also,
, so x is defined for all values of y. Range is all values that y can take which is also set of all real numbers greater than zero, i.e y>0.
As ,x =0 then y= 49 and
=1 then
= 7,
so ,
.
So, Option (1),(4) and (5) are correct.