Question

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to mc002-1.jpg?
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

t(s(x)) = t(x − 7). Substitute x − 7 for x in t(x):

t(x − 7) = 4(x − 7)^2 − (x − 7) + 3.

So the equivalent expression is: 4(x – 7)^2 − (x – 7) + 3 (option 2).