Question

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t*s)(x) ?

a) 4(x – 7)2 – x – 7 + 3

b) 4(x – 7)2 – (x – 7) + 3

c) (4x2 – x + 3) – 7

d) (4x2 – x + 3)(x – 7)

Answer 1

Hello,

(t*s)(x)=t(x)*s(x)=(4x²-x+3)*(x-7)

Answer D

Answer 2

The expression (t*s)(x) may also be written as t(x)*s(x) which means that the functions are just multiply to each other. From the given,
t(x)*s(x) = (4x² - x + 3)(x - 7)
Thus, the answer for this item is letter D.