Hello,
if f(x)=y=x+3
x=y+3==>y=x-3
f^(-1) (x)=x-3 is the inverse function of f(x).
It can give you a pretty good idea of how many degrees everything is. for example if something was 13degrees, you would be able to make an estimate because you know how much one degree is.
Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
- It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)
I hope this helps you with the other 3 questions.
<span>The graph is discontinuous for:
x=-3, -1, 1, 3, ...
Answer: Second option {...-3, -1, 1, 3, ...}</span>
I believe it would be $4.68, I think
Hope this helps