First, conceptually understand what an inverse function is, it makes solving it very intuitive. An inverse function is simply a function which has points (y,x) for every point (x,y) of the parent function. So you are essentially taking all points of the parent function and switching the x and y coordinates for each. Those switched coordinates are produced by the "inverse function".
Mathematically then, finding the inverse function is a matter of solving for x and then switching the variable labels. In this case:
y=2x+1 subtract 1 from both sides
y-1=2x divide both sides by 2
(y-1)/2=x now just switch the labels for the variables...
y=(x-1)/2 so
f^-1(x)=(x-1)/2 is the inverse of f(x)=2x+1
Answer:
(-6,4)
Step-by-step explanation:
The equations are:
Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:
Now we can solve for y:
So plugging in y = 4 into an equation and solving for x, we have:
So y = 4 corresponds to x = 6 & x = -6
The pairs would be
(6,4) & (-6,4)
<u><em>we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.</em></u>
Answer:
A. because its a short sentence but also asking people who read the story if they relate which means they are gonna want to know what the book is about if they babysat before
Step-by-step explanation:
Answer:
Step-by-step explanation:
5:13 p.m
The rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters
<h3>What is the volume?</h3>
The formula for volume of a cube is given as;
Volume = a³
Where:
a = length of its side
From the information given, we have;
V = s³
Where s = 15 centimeters
Substitute the value into the formula
v = (15)³
v = 3375 centimeters
Thus, the rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters
Learn more about a cube here:
brainly.com/question/1972490
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