Answer:
Good luck!
Intelligent Muslim,
From Uzbekistan.
Does anybody know the answer to this?
1 answer:
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P.S. Hello from Russia
Answer:
The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}
Step-by-step explanation:
- The domain of the function is the values of x which make the
function defined
- The rang is the corresponding values of y with the domain
- The parent function of f(x) is g(x) = IxI
- The graph of this function represented by 2 lines starting from
the origin, one of them with positive slope and the other with negative
slope and both of them over the x-axis
- The Domain of g(x) is {x : x ∈ R} where R is the set of real numbers
- That mean the domain of g(x) is all real numbers
- The range of g(x) is {y : y ≥ 0}
- That mean the range is all real numbers greater than or equal to zero
- f(x) is the image of g(x) after some transformations
- g(x) multiplied by 2 that mean vertical stretch.
- Then x add by 2 that mean horizontal translation to the left by 2 units
- Then subtract 8 from it means vertical translation down by 8 units
- The figure of f(x) is the same lines but stretched vertically away from
x-axis and moved to the left 2 units and down 8 units
- That means the image of the origin is (-2 , -8)
- So the domain does not change it is the all real numbers
- The domain of f(x) is {x : x ∈ R}
- But the range changes is because the graph of the function starts
from -8 not from 0
- Then the range of f(x) is {y : y ≥ -8}
* The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}
- <em>Look to the attached graph for more understand</em>
Answer: Your brother is 15 years old right now.
Step-by-step explanation:
Let be "m" your currently age and "b" your brother's currently age.
Knowing that right now he is three times (this indicates multiplication) as old as you, you can write the following equation:
In five years your age will be:
And your brother's age will be:
Then, if in five years, your brother will be twice as old as you, you can set up the second equation:
Then, the System of equations is:
Apply the Substitution method and substitute the first equation into the second one and solve for "m":
Substitute the value of "m" into the first equation and evaluate in order to find "b":