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timurjin [86]
3 years ago
5

If s(x)=x-7 and t(x)=4x^2-x+3 which expression is equivalent to (t•s)(x)?

Mathematics
2 answers:
olga_2 [115]3 years ago
3 0
Hello :
<span>s(x)=x-7 and t(x)=4x²-x+3
</span><span>(t•s)(x) = t(s(x)) = t(x-7) = 4(x-7)²-(x-7) +3
</span>(t•s)(x) = 4(x-7)²-x+7+3
Marrrta [24]3 years ago
3 0

Answer:  (B) 4(x-7)^2-(x-7)+3.

Step-by-step explanation:  We are given the following two functions :

s(x)=x-7,\\\\t(x)=4x^2-x+3.

We are to find the expression that is equivalent to (t.s)(x).

We know that

for any two functions f(x) and g(x), we have

(f.g)(x)=f(g(x)).

Therefore, we get

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

Thus, (t.s)(x) is equivalent to 4(x-7)^2-(x-7)+3.

Option (B) is CORRECT.

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