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Artist 52 [7]
3 years ago
6

If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?

Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

f(g(x)) = 2(x^2 + 2x)^2

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Step-by-step explanation:

Given;

f(x) = 2x^2

g(x) = x^2 + 2x

To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).

f(g(x)) = 2(g(x))^2

f(g(x)) = 2(x^2 + 2x)^2

Expanding the equation;

f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)

f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)

f(g(x)) = 2(x^4 + 4x^3 + 4x^2)

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Hope this helps...

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Convert each mixed number to an improper fraction

--------------------------------------------
Convert 6&1/2 to an improper fraction

6&1/2 = (6*2+1)/2
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--------------------------------------------
Do the same for 9&1/4

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--------------------------------------------
Now multiply the improper fractions 13/2 and 37/4. Multiply straight across

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--------------------------------------------
The last step is to use long division to find the mixed number equivalent of 481/8

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