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:
84°
Step-by-step explanation:
m∠TRV=2*m∠TUV;
m∠TRV=42*2=84°.
For the triangle picture:
2/6 = 5/x
2x = 30
x = 15
For the other picture:
3.2/2 = a/8
The third option applies.
Other option does not apply.
Because for Option 4,
It should be 2/3.2 = b/6.4
For option 3,
it should be b/6.4 = 5/8
To Simplify It Put It In Y=MX+B Form .