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Answer 1 · 2017-11-19T12:49:24

Domain: # -4<= x<=4 or x| [-4,4]#

#f(x)= sqrt (16-x^2) # . Domain : Possible input value of #x#:

Under root will be undefined for any negative value .

#:. (16-x^2)>=0 or (4+x)(4-x)>=0#

#(4+x)>= 0 and (4-x)>=0#

#4>= -x or -4 <=x :. x >= -4 # and

#4>= x :. x <= 4 #

# :. x>=-4 and x<=4 #

Domain: # -4<= x<=4 or x| [-4,4]#

graph{sqrt(16-x^2) [-10, 10, -5, 5]} [Ans]