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The given two functions are p(x)=x²+4 and q(x)=3x-1, which of the following functions is the result…

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Question

The given two functions are p(x)=x²+4 and q(x)=3x-1, which of the following functions is the result of p°q?

a. (p°q)(x)=9x-6x
b. (p°q)(x)=3x³-x²+12x-4
c. (p°q)(x)=3x²-11
d. (p°q)(x)=x²+3x+3​

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Answer #1 for Questions: The given two functions are p(x)=x²+4 and q(x)=3x-1, which of the following functions is the result of p°q?

a. (p°q)(x)=9x-6x
b. (p°q)(x)=3x³-x²+12x-4
c. (p°q)(x)=3x²-11
d. (p°q)(x)=x²+3x+3​

[tex]p°q(x) = p(q(x)) \ p(q(x)) = {(q(x))}^{2} + 4 \ p(q(x)) = {(3x – 1)}^{2} + 4 \ p(q(x)) = (9 {x}^{2} – 6x + 1) + 4 \ p(q(x)) = 9 {x}^{2} – 6x + 5[/tex]

p°q(x) = 9x^2 -6x +5

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