If #f(x) = sqrt(x-10)# and #g(x) = -x#, what is #f+g# and its domain?

1 Answer
Jan 14, 2018

#f(x)=sqrt(x-10)#, #g(x)=-x#, so
#f+g(x)=sqrt(x-10)-x#

The domain would be #x in [10, ∞)# because #sqrt0# is possible, but #sqrt(-1)# is a math error (you can look into that if you're interested, #sqrt(-1)# is termed #i#, stands for imaginary unit)