Given:
The table of values for the function f(x).
To find:
The values
and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:

We know that if (a,b) is in the function f(x), then (b,a) must be in the function
. So, the inverse function is defined as:

And,

...(i)
Using (i), we get

Now,


Therefore, the required values are
and
.
I don’t know for sure by 1 cm is a good guess.
Answer:
A) slope = 20.
B) The slope of 20 dollars per hour means that for every hour, the price of the service call increases by 20 dollars (or you could say the price of the service call is 20 dollars every hour, both work.)
Step-by-step explanation:
Recall that slope is y2 - y1 / x2 - x1.
Excellent. We are provided with two points: (1, 60) and (3, 100). Let’s enter this into our formula.
Slope = (100 - 60) / (3 - 1) = 40 / 2 = 20.
Now, to determine what the slope means, we can look at the axis titles on the graph. The x axis title is hours, or time in hours. The y axis title is price of the service call in dollars. Therefore, the slope is price (in dollars) per time (in hours).
This can be restated as: The slope of 20 dollars per hour means that for every hour, the price of the service call increases by 20 dollars (or you could say the price of the service call is 20 dollars every hour, both work.)
Hope this helps!
Given:
'a' and 'b' are the intercepts made by a straight-line with the co-
ordinate axes.
3a = b and the line pass through the point (1, 3).
To find:
The equation of the line.
Solution:
The intercept form of a line is
...(i)
where, a is x-intercept and b is y-intercept.
We have, 3a=b.
...(ii)
The line pass through the point (1, 3). So, putting x=1 and y=3, we get



Multiply both sides by a.

The value of a is 2. So, x-intercept is 2.
Putting a=2 in
, we get


The value of b is 6. So, y-intercept is 6.
Putting a=2 and b=6 in (i), we get

Therefore, the equation of the required line in intercept form is
.
Answer: 
Step-by-step explanation:
I hope you mean y = x² - 12 and not y = 2x - 12.
You switch the y and x variables:
x = y² - 12
And solve for y:
x + 12 = y²
