Look at the picture.
![m\angle a=\dfrac{180^o-46^o}{2}=67^o\\\\m\angle b=180^o-67^o=113^o\\\\m\angle x=\dfrac{180^o-113^o}{2}=33.5^o\\\\Answer:\ [1]\ 33.5^o](https://tex.z-dn.net/?f=m%5Cangle%20a%3D%5Cdfrac%7B180%5Eo-46%5Eo%7D%7B2%7D%3D67%5Eo%5C%5C%5C%5Cm%5Cangle%20b%3D180%5Eo-67%5Eo%3D113%5Eo%5C%5C%5C%5Cm%5Cangle%20x%3D%5Cdfrac%7B180%5Eo-113%5Eo%7D%7B2%7D%3D33.5%5Eo%5C%5C%5C%5CAnswer%3A%5C%20%5B1%5D%5C%2033.5%5Eo)
Fill in the missing values in the table below:
2 answers:
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Answer:
Step-by-step explanation:
First, let's change those variables to x and y, just for the sake of convenience. In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y. Letting y = A(n) and x = n (we will switch them back when we're done):
y = 3x - 20. This is linear; a line with a slope of 3 and a y-intercept of -20. When we switch the x and the y, we get:
x = 3y - 20. Now we solve for the new y. Begin by adding 20 to both sides:
x + 20 = 3y. Now divide both sides by 3:
, or to write it in slope-intercept form, like the function you started with:
This is also a line, with a slope of 1/3 and a y-intercept of +20/3
Now, replacing:
That is how to write the inverse using function notation. The little -1 as an exponent tells us that this is the inverse of the function A(n).
