Question

If p(x) = x-1 and q(x) = b(x-1), which expression is equivalent to (p - q)(x)?

a) (5x-1) - (x-1)
b) (5x-1) - (-1)
c) (0-1) - 5(x-1)
d) (-1) - 5x-1

Answer 1

The expression (p - q)(x) is the difference between two functions - p(x) and q(x). We can simplify the expression by subtracting q(x) from p(x) and combining like terms.

Step-by-step explanation:

The expression (p - q)(x) is the difference between the functions p(x) and q(x). To find this, we subtract q(x) from p(x). Since p(x) = x-1 and q(x) = b(x-1), we have:

(p - q)(x) = (x-1) - b(x-1)

Using the distributive property, we can simplify this expression as follows:

(p - q)(x) = x - 1 - bx + b

Combining like terms, we can rewrite the expression as:

(p - q)(x) = (1 - b)x + (b - 1)