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)

Hello,

(t*s) (x) = t (x) * s (x) = (4x²-x+3) * (x-7)

Answer D

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.