Answer:
Step-by-step explanation:
Remember:
(fog)(x)= g(f(x))
a)
=[f\ o\ (g\ o \ g^{-1})](x)=f(x)\\\\g^{-1}(g(f(x))=g^{-1}(2x-\dfrac{1}{x} )=\dfrac{2x-\dfrac{1}{x}-2}{5} =\dfrac{2x}{5} -\dfrac{1}{5x}-\dfrac{2}{5} \\\\\\\boxed{f(x)=\dfrac{2x}{5} -\dfrac{1}{5x}-\dfrac{2}{5} }\\\\](https://tex.z-dn.net/?f=%5B%28f%5C%20o%5C%20g%29%5C%20o%5C%20g%5E%7B-1%7D%5D%28x%29%3D%5Bf%5C%20o%5C%20%28g%5C%20o%20%5C%20g%5E%7B-1%7D%29%5D%28x%29%3Df%28x%29%5C%5C%5C%5Cg%5E%7B-1%7D%28g%28f%28x%29%29%3Dg%5E%7B-1%7D%282x-%5Cdfrac%7B1%7D%7Bx%7D%20%29%3D%5Cdfrac%7B2x-%5Cdfrac%7B1%7D%7Bx%7D-2%7D%7B5%7D%20%3D%5Cdfrac%7B2x%7D%7B5%7D%20-%5Cdfrac%7B1%7D%7B5x%7D-%5Cdfrac%7B2%7D%7B5%7D%20%20%5C%5C%5C%5C%5C%5C%5Cboxed%7Bf%28x%29%3D%5Cdfrac%7B2x%7D%7B5%7D%20-%5Cdfrac%7B1%7D%7B5x%7D-%5Cdfrac%7B2%7D%7B5%7D%20%7D%5C%5C%5C%5C)
b)
Answer:
C. Reflection line
Step-by-step explanation:
I believe that the first one is B) Unpaid Balance.
Dont quote me though if its wrong haha.
You can solve it by replacing the Y in the 2nd equation with the solved Y in the first.
4x + 2(3x-15)= 22
that should give you...
4x + 6x - 30 = 22
then combine like terms...
10x - 30 = 22
now we need to get X alone so add 30 to each side....
10x = 52
now divide both sides by 10..
X = 52\10
both are divisible by 2...
X = 26\5
you should be done unless you need Y as well then go back to the first and plug in what you found for X...
Y = 3(26÷5)- 15
and that should give you Y.
a 2nd method you can make your own answer by making x = 0 ..
Y= 3(0) -15
Y= -15
now put that in the 2nd for Y...
4x+ 2(-15) = 22...
4x-30= 22
add 30 to both sides..
4x = 52
divide by 4....
X = 13
now take this to the first for x...
Y= 3(15) - 15
Y = 30
you can check your work by plugging in the two on top and see if the final is the same..
30 = 3(15) - 15
the 2nd way is faster though of course..
anyway X= 13 Y= 30
Answer:
it is B (2,-2)
Step-by-step explanation:
if its to the right and up from the origin then it is opposite. if it it down or left then it is negative.
