Question

Find the domain of the vector function.

Answer 1

Step 1:

The vector function is .

Component functions of are,

.

Step 2:

Domain of consists of all values of .

Domain of .

is square root function.

Domain of .

Domain of .

is a exponential function and its domain is all real numbers.

Domain of .

is a logarithmic function and the domian of logarithmic function is real numbers greater than zero.

log of a negative value undefined.

 

Domain of is .

Step 3:

Domain of vector function is intersection of three component functions domain.

Domain of  is .

Solution:

Domain of is .