f(x) = 4 - √x+9

Question

Find the domain and range of 4 negative of the square root of x plus 9

Answer 1

f(x) = 4 - sqr(x) +9

if that means f(x) =4+9-sqr(x) = 13 -sqr(x) then

domain is the interval [0, infnity)

x is always non-negative

and range is in the interval (-infinity, 13], y is always 13 or less

but you probably meant f(x) = 4 -sqr(x+9)

then domain is the interval [-9, infinity)

x is always equal to or greater than -9

range is (-infinity, 4]

y is always less than or equal to 4