How do you find the domain and range of #f(x)= sqrt(6x-10)#?

1 Answer
Aug 28, 2017

Answer:

Domain : # x>=5/3 or [5/3 ,oo)#. Range: # f(x) >=0 or [0,oo)#

Explanation:

# f(x) = sqrt(6x-10)# . Domain: Under root should # >=0#

#6x-10 >=0 or 6x >=10 or x >=10/6 or x >=5/3 :.# Domain is

# x>=5/3 or [5/3 ,oo)#

Range: f(x) is not a negative number, i.e # f(x) >=0 or [0,oo)#

Domain is # x>=5/3 or [5/3 ,oo)# and Range is # f(x) >=0 or [0,oo)#

graph{(6x-10)^0.5 [-10, 10, -5, 5]} [Ans]