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:
Emmas father would be 40 years old
Step-by-step explanation:
if the father is 40 years old right now emma will be his age in 30 years.
in 30 years emma will be as old as he was when she was ten (10+30=40)
after the 30 years emmas father who was once 40 years when she asked how old he was would be 70 years old (30+40=70)
The correct answer is option A which is the distance between A and D will be AD =
.
<h3>What is coordinate geometry?</h3>
A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
The formula utilised to find the distance between two points is;-
X = 
We have the coordinates of the point A = (0, 0) and D is (0, b).By applying the formula to find the distance between A and D.
AD =
.
Therefore the correct answer is option A which is the distance between A and D will be AD =
.
To know more about Coordinate geometry follow
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1 one and 58 hundredths.
I hope you like this answer, and have a good night and life! :D