The graph of g(x) is the graph of f(x)=x+9 reflected across the y-axis.
2 answers:
Answer:
g(x) = -x +9
Step-by-step explanation:
Reflecting across the y-axis involves changing the sign of x, so the reflection of f(x) is ...
... g(x) = f(-x) = (-x) +9
The appropriate choice is ...
... g(x) = -x+9
<h2>Answer:</h2>
The equation which describes the function g is:
The graph of the function f(x) is given by:
Now, we know that the transformation of the function f(x) when the graph is shifted across the y-axis then it is given by:
f(x) → f(-x)
This means that:
g(x)=f(-x)
i.e.
g(x)= -x+9
Hence, the equation which will represent the graph of the function g(x) is given by:
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Answer:
The required probability is
Step-by-step explanation:
Total number of bottles = 50
Total number of water bottles = 30
Total number of lemon flavored water bottles = 8
Total number of tea bottles = 20
Total number of lemon flavored tea bottles = 5
<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em><em> Probability of selecting a lemon bottle out of water bottles.</em>
<em></em>
<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em><em> Probability of selecting a lemon bottle out of tea bottles.</em>
Formula for probability of an event E can be observed as:
Probability of selecting a water bottle:
Probability of selecting a lemon flavored bottle from water bottle:
<em>Probability of selecting a lemon flavored water bottle = P(A)</em>
<em></em><em></em>
<em></em>
Probability of selecting a tea bottle:
Probability of selecting a lemon flavored bottle from tea bottle:
<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>
<em></em><em></em>
<em></em>
<em>The required probability is:</em>
<em>P(A) + P(B):</em>
<em></em><em></em>
In the case above, Talib work is not correct as one need to first switch x and y before one can solve for y.
<h3>What is the variables about?</h3>Note that:
y=-8x+4
y-4=-8x
(y-4)/-8=x
Since the independent variable x is known, one can switch the variable labels and thus it will be:
y=(x-4)/-8
f^-1(x)=(x-4)/-8
This can be written again as:
f^-1(x)=(4-x)/8 :P
Thus one can say No, as he forgot to switch the variable labels after solving for the independent variable.
In the case above, Talib work is not correct as one need to first switch x and y before one can solve for y.
See the first part of the question below
Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your answer.
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