Question

P(x) = x-1 and q(X)= 5[X=1), which expression is equivalent to (pg){x)?

A) 5(x-1)-(x-1)
B) (5x-1)-(x-1)
C) (x-1)-5(x-1)
D) (5x²-1) - 5x -1

Answer 1

The equivalent expression to (pg){x} is A) 5(x-1)-(x-1).

Step-by-step explanation:

The expression (pg){x} represents the composition of the functions p(x) and q(x). To find the equivalent expression, we substitute q(x) into p(x). Starting with p(x) = x-1, we replace x with q(x) which is 5(x-1). Simplifying, we get (pg){x} = 5(x-1)-1. Therefore, the equivalent expression is A) 5(x-1)-(x-1).