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denpristay [2]
3 years ago
6

I appreciate if you can help...

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

Step-by-step explanation:

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Answer:

(f o g) (x) = 36x² + 3

(g o f) (x)  = 6x² + 18

Step-by-step explanation:

f(x) is x² + 3  

g(x) is 6x

(f o g) (x) means for all xs in f replace it with g(x) or 6x

(f o g) (x) = (6x)² + 3  - see 6x is in place of x and 6x is g(x)

(f o g) (x) = 36x² + 3

(g o f) (x)  = 6(x² + 3)  

(g o f) (x)  = 6x² + 18

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What should be done to x^2 + 15x in order to create a perfect square?
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\bf \qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] ~\dotfill

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