Question

How do you find the domain and range of the function:
g(z)=4-sqrt z

Answer 1

hmmm this is where the restriction on domain and range occurs

Answer 2

domain =non-negative integers.bcuz sqrt funtion is restricted at negatve numbers

Answer 3

you have this equation
g(z)=4-sqrt z
now we are bound to vary the value of domain from -infinity to infinity
if i will put positive values in z the equation is valid but if you put -ve values in z the equation become invalid because the -ve of a number results in imagnary numbers

Answer 4

thus the domain is
zero to +infinity

and range is
4 to -infinity

Answer 5

and whatever from nonnegative number u put in the function the range is becomes 4 to - inf

Answer 6

domain- \[z \ge 0\]
And the square root can take least value zero. So the range takes values greater than 4.
Range- [4,infinity]

Answer 7

A correction range is [ -inf , 4]. Sorry

Answer 8

Thanks!