For f(x)=4x+1 and g(x)=x^2+5, find (f+g)(x)

For f(x)=4x+1 and g(x)=x^2+5 

(f+g)(x) = 4x +1 + x^2 + 5 
(f+g)(x) = x^2  + 4x + 6

hope that helps

Question 1
First, look at the left triangle alone.
Two of its angles are 46° and 58° .  (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.  
                                                         x = 76° .

At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But  x = 76°.
So z = (180° - 76°).              z = 104° . 

Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and  z = 104°.  
(13° + 104°) = 117° .  
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
                                                 y = 63° .