Question

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

Answer 1

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

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.

Answer 2

Answer:

$(4x^2-x+3)(x-7)$

D is the correct option.

Step-by-step explanation:

We have been given that

$s(x)=x-7\text{ and }t(x)=4x^2-x+3$

We have to find $(t\cdot x)$

which means we have to find the product of these two expressions.

We can rewrite $(t\cdot x)$ as $t(x)s(x)$

Therefore, we have

$(t\cdot x)\\\\=t(x)s(x)=(4x^2-x+3)(x-7)$

Hence, the equivalent expression is

$(4x^2-x+3)(x-7)$

D is the correct option.