ANSWER
EXPLANATION
The given function is
We need to find the inverse of this function,
Let
We interchange x an y to obtain,
We solve for y now to obtain,
We divide through by m to get,
Hence the inverse function is ,
For this inverse to exist, the denominator must not be equal to zero,
Thus
The correct answer is A.
Answer: " m = zC / (C − z) " .
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Explanation:
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Given: 1/C + 1/m = 1/z ; Solve for "m".
Subtract "1/C" from each side of the equation:
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1/C + 1/m − 1/C = 1/z − 1/C ;
to get: 1/m = 1/z − 1/C ;
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Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
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mzC {1/m = 1/z − 1/C} ;
to get: zC = mC − mz ;
Factor out an "m" on the "right-hand side" of the equation:
zC = m(C − z) ; Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;
zC / (C − z) = m(C − z) / m ; to get: 24/8 = 3 24
zC/ (C − z) = m ; ↔ m = zC/ (C − z) .
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Well with this amount of information I conclude m = 45h
The # of miles driven is determined by 45 × the amount of hours driven.
~~ I hope that helps you out!! Any more questions, please feel free to ask me and I will gladly help you out!
~Zoey
Answer:
For x ≥ 2, the graph will be a straight line parallel to x-axis and having equation y = - 3
And for x < 2 will be a straight line having equation y = x i.e. the graph makes 45° angle with the positive x-axis and passing through the origin.
Step-by-step explanation:
The piece wise function g(x) is given by
g(x) = x if x < 2 and g(x) = - 3 if x ≥ 2.
Now, the graph has two parts, one for x ≥ 2 and another for x < 2.
Here, for x ≥ 2, the graph will be a straight line parallel to the x-axis and having equation y = - 3
Again, the graph for x < 2 will be a straight line having equation y = x i.e. the graph makes 45° angle with the positive x-axis and passing through the origin. (Answer)
