r(x) has domain {-1,0,1,2} and range {0,2,4,6}. s(x) has domain {1,2,3,4} and is defined by s(x)=x+1. What is the sum of all possible values of s(r(x))?
r(x) has domain {-1,0,1,2} and range {0,2,4,6} .
s(x) has domain {1,2,3,4} and is defined by s(x) = x + 1.
The possible values of r(x) are 0, 2, 4, and 6 .
Of these, only 2 and 4 are "valid" inputs into s(x) ....they are the only ones in the domain of s(x) .
So we can have s(2) and s(4) .
s(2) = 2 + 1 = 3
s(4) = 4 + 1 = 5
So the possible values of s( r(x) ) are 3 and 5 .
3 + 5 = 8
r(x) has domain {-1,0,1,2} and range {0,2,4,6} .
s(x) has domain {1,2,3,4} and is defined by s(x) = x + 1.
The possible values of r(x) are 0, 2, 4, and 6 .
Of these, only 2 and 4 are "valid" inputs into s(x) ....they are the only ones in the domain of s(x) .
So we can have s(2) and s(4) .
s(2) = 2 + 1 = 3
s(4) = 4 + 1 = 5
So the possible values of s( r(x) ) are 3 and 5 .
3 + 5 = 8