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frutty [35]
3 years ago
7

Find (f ° g)(x) and (g ° f)(x) f(x) = 7x-4, g(x)=5-3x

Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0

(f ◦ g)(x) = f(g(x))

substitute x = g(x) = 5 - 3x into f(x)

f(g(x)) = f(5 - 3x) = 7(5 - 3x) - 4 = 35 - 21x - 4 = 31 - 21x

(g ◦ f)(x) = g(f(x))

substitute x = f(x) into g(x)

g(f(x)) = 5 - 3(7x - 4) = 5 - 21x +12 = 17 - 21x


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Answer:

(x + 5)(3x - 2)

Step-by-step explanation:

Assuming you require the expression factorised.

3x² + 13x - 10

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

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The factors are + 15 and - 2

Use these factors to split the x- term

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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C.

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