Answer:
Step-by-step explanation:
Because this is a right triangle and you have all the side values, you can use any of the trig identities to solve for angle N. I'll just use sin (no reason; any of them will work and will give you the correct answer as long as you do it properly!)
sin of an angle is the side opposite the reference angle over the hypotenuse. For us, that looks like this:
and
sinN = .3243243243 and then hit the 2nd button and then sin to get:
and after that set of parenthesis, enter the decimal to get that
N = 18.9 degrees
Answer:
Excuse Me, I believe you forgot to put your picture in your question! I would highly recommend reposting your question for the desired answer(s) that your looking for!
Have a GREAT day!
Yours Truely, TheAnimeCatUwU
Step OneFor convenience f(x) = y
y = -(1/2) sqrt(x + 3) Interchange x and y
x = -(1/2) sqrt(y + 3) Multiply both sides by -2
(-2x) = sqrt(y + 3) Square both sides
4x^2 = y + 3 Subtract 3 from both sides
4x^2 -3 = y
f-1(x) = 4x^2 - 3
GraphsThe original graph is in blue
The inverse is red.
Green Line y = x : explained below.
CommentInverses have a very strange property. It acts as a check.
If you perform the following operation
f-1(f(x)) you are left with x
In this case f-1[-1/2 sqrt(x + 3)]= 4(-1/2 * sqrt(x + 3))^2 - 3
f-1 (-1/2sqrt(x+3)) = 4 (1/4 (x+3) - 3
f-1(-1/2sqrt(x + 3)) = x+ 3 - 3 = x
I've included this because I think you have to put the same restriction on f-1(x) as you do on f(x) which is that for f(x) x ≥ -3
This last assertion could be incorrect, but I don't think so.
The answer is f-1(x) = 4x^2 - 3 <<<<<
answer first box and
x≥-3 for the second box. <<<<<<
answer for the second box.Let me know if these are correct. I'm not sure about the restrictions.
Answer:
yes
Step-by-step explanation:
parallel lines and equal
equal angles