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Katena32 [7]
1 year ago
13

If f(x) = x³ +7x²-x and g(x)=x²-3, What is the degree of g(f(x))? a)2 b)3 c)6 d)8

Mathematics
2 answers:
andrezito [222]1 year ago
5 0

Answer:

<u>c) 6</u>

Step-by-step explanation:

Given :

⇒ f(x) = x³ + 7x² - x

⇒ g(x) = x² - 3

===============================================================

Finding the degree of g(f(x)) :

⇒ Degree of f(x) = 3

⇒ Degree of g(x) = 2

⇒ Therefore, degree of g(f(x)) = degree of f(x) × degree of g(x)

⇒ Degree of g(f(x)) = 3 × 2

⇒ Degree of g(f(x)) = <u>6</u>

MrMuchimi1 year ago
5 0
  • g(f(x))
  • g(x³+7x²-x)
  • (x³+7x²-x)²-3

Degree of g(f(x))

Use Pascal's law

  • 3×2
  • 6

Option C

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Answer with explanation:

Using following law of indices

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9. (4\times x\times y^2)^3\times (xy)^5=4^3\times x^3\times (y^2)^3\times x^5 \times y^5\\\\=64\times x^{3+5}\times y^{5+6}\\\\=64x^8y^{11}\\\\10.(2\times t^3)^3(0.4\times r)^2=2^3 \times (t^3)^3\times (0.4)^2 \times r^2=8\times t^9 \times 0.16 \times r^2=1.28r^2t^9

8. A number raised to a negative exponent is negative.

Explaining with the help of few examples

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Option C: Sometimes

1.Option B

2.Option A

3.Option C

4.Option A

5.Option D

6.  81 \times 10^6

7.Option B

8.Option C

9.Option A

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Answer:

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JulijaS [17]

Answer:

Karen,  this type of question is such a tricky question, there is a lot of things that you just have to remember for these.  Also, this type of question is asked a lot on brainly,  you are in good company :P   This also makes me wonder if math teachers are just REALLY BAD at teaching this.. hmmm   Something is up with this type of problem b/c I have answer 100s of these type on here.. they are tricky.  soooo...

Step-by-step explanation:

1st ,

Use SOH CAH TOA to recall how the trig functions fit on a triangle

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take the inverse Tan function ( arcTan)  on both sides... sooo

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So, now we know that angle ∅

SOH CAH TOA is super helpful for this kind of triangle problem :)

7 0
2 years ago
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