Question

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

4(x – 7)2 – x – 7 + 3
4(x – 7)2 – (x – 7) + 3
(4x2 – x + 3) – 7
(4x2 – x + 3)(x – 7)

Answer 1

To save you time it's B.

Explanation:

Answer 2

In order to find the expression that is equivalent to (t*s)(x), use the following steps:
s(x) = x - 7t(x) = 4x^2 - x + 3
(t*s)(x) = t(s(x)) = t(x - 7) = 4(x - 7)^2 - (x - 7) + 3 = 4(x - 7)^2 - x + 7 + 3
The correct result would be 4(x – 7)2 – (x – 7) + 3.