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Dafna1 [17]
3 years ago
7

Let f(x) = x³−27 and let g(x)=x−3. Match the functions defined below with the letters labeling their equivalent expressions.

Mathematics
1 answer:
harina [27]3 years ago
7 0

1.g(f(x)) = g(x^3 - 27)(x)

=x^3 - 27 -3

=x^3 -30

Matched with letter A.

2.f(x^2(x))= (x^3 - 27)^2

=(x^3 - 27)(x^3 - 27)

=x^6 - 54x^3 + 729

Matched with letter C

3. f(g(x))= f(x - 3)(x)

=(x - 3)^3 - 27

=[(x - 3)(x - 3)(x - 3)]-27

=x^3- 9^2+ 27x- 54

Matched with letter B.

4. (f(x))2 = (x^3 - 27)^2

=(x^3 - 27)(x^3 - 27)

=x^6 - 54x^3 + 729

Matched with letter C

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∠1 ​ and ∠2 are supplementary. ∠1=124°∠2=(2x+4)° Select from the drop down menu to correctly answer the question.
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Remark
Supplementary angles add up to 180o. 

Givens
<1 = 124
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I imagine you are looking for either x or <2. 

Equation
<1 + <2 = 180          Substitute the givens
124 + 2x + 4 = 180  Collect like terms on the left.
128 + 2x = 180         Subtract 128 from both sides
2x = 180 - 128          Collect like terms on the right   
2x = 52                     divide by 2
x = 52/2
x = 26 <<<<<<<<< answer

<1 = 124
<2 = 2x + 4 = 2*26 + 4
<2 = 52 + 4
<2 = 56  <<<<<<<< answer

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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