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

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

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contestada

Respuesta :

ghanami ghanami · Answer 1 · 2017-05-09T09:21:25+02:00

hello :
s(x)=x-7 and t(x)=4x²-x+3
(t•s)(x) = t(s(x)) = t(x-7) = 4(x-7)²-(x-7) +3
(t•s)(x) = 4(x-7)²-x+7+3

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ColinJacobus ColinJacobus · Answer 2 · 2019-06-24T15:39:59+02:00

Answer: (B) [tex] 4(x-7)^2-(x-7)+3.[/tex]

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

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

We are to find the expression that is equivalent to [tex](t.s)(x).[/tex]

We know that

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

[tex](f.g)(x)=f(g(x)).[/tex]

Therefore, we get

[tex](t.s)(x)\\\\=t(s(x))\\\\=t(x-7)\\\\=4(x-7)^2-(x-7)+3.[/tex]

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

Option (B) is CORRECT.