Funtion Problems

Question

Suppose that the functions s and t are defined for all real numbers x as follows

 

s(x)=2x-5

t(x)=x-1

 

Write the expressions for (t+s)(x) and (t·s)(x) and evaluate (t-s)(1)

Answer 1

Colin,

 

(t+s)(x) = t(x) + s(x) = (x-1) + (2x - 5) = 3x - 6

 

(t-s)(x)  = t(x) - s(x)  = (x-1) -  (2x-5)    = -x + 4  = 4 - x