If f (x) = StartFraction x minus 3 Over x EndFraction and g(x) = 5x – 4, what is the domain of (f circle g) (x)?
2 answers:
Answer:
<h2>The domain is all real values of x exceptStep-by-step explanation:
The function, .
g(x) = 5x - 4.
Hence, (f circle g) (x) = .
We need to find the domain of (f circle g) (x) .
The domain means the set of values of x, for which we will get a real value of (f circle g) (x).
The function will not give a real value when, 5x - 4 = 0 that is .
Hence, the domain of the function will be all real values of x rather than .
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The answer is:
1- A line of symmetry will connect a vertex and a midpoint of an opposite side.
2- It has -fold symmetry.
The explanation for this answer is shown below:
1- By definition, a line of symmetry is an imaginary line that divides a figure into two equal images or equal halves. If you connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, you will obtain two equal halves.
2- An heptagon has seven vertices, therefore, based on the information mentioned above, it has -fold symmetry.
Answer:
4.979044478499338 × 10²⁶
Step-by-step explanation:
Combination can be used to determine the number of ways the mice can be selected for the drugs (A, B) and the control group.
Combination factorial is define by ⁿCr =
21 group of mice receiving Drug A can be selected in ⁶⁰C₂₁ =
(60 - 21 = 39 ) mice remained for selection of 21 mice for the second drug
Drug B 21 mice can be chosen with ³⁹C₂₁ =
( 39 - 21 = 18) remained for control with ¹⁸C₁₈ =
The number of ways the mice can be chosen for drug A, drug B and the control = ⁶⁰C₂₁ × ³⁹C₂₁ × ¹⁸C₁₈ = ×
×
= 4.979044478499338 × 10²⁶