Question

If p(x) = x² - 1 and g(x)= 5(x-1), which expression is equivalent to (p - q)(x)?
A.5(x-1)-x²-1
B.(5x-1)-(x² - 1)
C.(x²-1)-5(x - 1)
D.(x²-1)-5x - 1

Answer 1

The expression which is equivalent to the required expression (p - q)(x) is; Choice C; (x²-1)-5(x - 1).

Which expression is equivalent to (p - q)(x) given that p(x) = x² - 1 and g(x)= 5(x-1)?

It follows from the task content that the premise functions as given in the task content are;

p(x) = x² - 1

g(x)= 5(x-1).

Consequently, the required expression for the function operations; (p - q)(x) is simply;

p(x) - q(x) and is equivalent to;

(x² - 1) - 5(x - 1)

Therefore, the expression which is equivalent to the required expression (p - q)(x) is Choice C; (x²-1)-5(x - 1).

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