hog = h(g(x)) = h(-x+3) = √(-x+3)
The term in the square root cannot take negative values. It must be greater than (or equal to) zero.
-x + 3 >= 0
-x >= -3
x =< 3
Hence, the domain of x is given by (-∞, 3]
Find the domain of the composite function, hog
H(x)=√x , g(x)=-x+3
1 answer