Question

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

The correct answer is 4(x-7)²-(x-7)+3.

Step-by-step explanation:
When we find (t*s)(x), that is the same as t(s(x)). To evaluate this, we take the value of s(x), x-7, and substitute it in for every x in t(x). Instead of 4x², we have 4(x-7)²; instead of -x, we have -(x-7). This gives us 4(x-7)²-(x-7)+3.