The domain for f(x) and g(x) is the set of all real numbers.

2 answers:

5 0

Answer:

$3x^2 + 8$

Step-by-step explanation:

Given functions,

$f(x) = 3x + 8 ----(1)$

$g(x) = x^2 -----(2)$

Since,

(fog)(x) = f( g(x) ) ( Composition of functions )

$=f(x^2)$ ( From equation (2) )

$=3x^2 + 8$ ( From equation (1) )

Hence,

$(fog)(x)=3x^2 + 8$

Second option is correct.

bija089 [108]3 years ago

3 0

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Marizza181 [45]

There are 12 possible arrangements.

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Considering that the blue cup has to be on one end, we consider the number of arrangements possible with the other 4 cups, then multiply by 2(considering the blue on each end).

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Considering green and yellow before red and purple, there are $2 \times 2 = 4$ outcomes(G-Y-R-P, G-Y-P-R, Y-G-R-P and Y-G-P-R).
Another two possible outcomes are yellow-purple and green-red, or vice-versa, thus 4 + 2 = 6 outcomes.
To account for the blue on the end, multiplying by 2. $2 \times 6 = 12$
There are 12 possible arrangements.