Yes choice B) 1/5 is correct. You are using the correct formula and steps. Nice work.
Here's another way to look at it:
When you visually plot the inverse, you reflect everything over the line y = x. What happens is that every (x,y) point swaps coordinates. So if (1,2) is on g(x), then (2,1) is on the inverse, and vice versa. Swapping the x and y values will swap the nature of the tangent slope.
For any tangent on g(x), its slope is m = (dy)/(dx)
The corresponding slope on the inverse will be n = (dx)/(dy). All that's happened here is that the numerator and denominator flipped. Again because x and y have swapped places. If you wanted, you can picture the xy axis where the vertical axis is the x axis and the horizontal axis is the y axis. That's effectively what is going on here.
So before you found that g'(1) = 5 meaning that m = 5/1 on g(x) at the point (1,2)
So n = 1/m = 1/5 for the point (2,1) on the inverse g function.
Answer:
circle graph
Step-by-step explanation:
x=11
x is equal to 11 because you subtract 4x from both sides and then add 8 to both sides where you are left with 2x=22. After dividing by 2, you get x=11
Answer:
90
Step-by-step explanation:
3/2=x/60
multiply 3/2 by 30 for the denominator to get to 60
90/60
90 liters of paint for 60 students
<h2>x = 1/4</h2><h2>y = -2</h2><h2>______________</h2>
<h2>Known : </h2>
y = -8x
4x - y = 3
<h2>Asked: </h2>
Use the substitution method to solve the system of equations ?
<h2>Answered:</h2>
<h3>Substitution y</h3>
4x - y = 3
4x - (-8x) = 3
4x + 8x = 3
12x = 3
x = 3/12
x = 1/4
<h3>
Substitution x</h3>
4x - y = 3
4(1/4) - y = 3
4/4 - y = 3
1 - y = 3
-y = 3 - 1
-y = 2
y = -2
