Answer:
Using the inverse composition rule you know that if (fog)=x and (gof)=x then the functions are inverses.
(
g
o
f
)
=
(
7
x
+
1
)
−
1
7 this will result in (gof)=x
(
f
o
g)
=
7
x
−
1
7
+1
=
x
−
1
+
1
=x
graphically you can check this if it seems that the functions are reflected over the line x=y.
Step-by-step explanation:
3x° is 60° , 2x° is 40° and 4x° is 80°
<h3>
How to determine the angles</h3>
Note that the sum of angles in a triangle is 180°
Solve for x in the triangle
Then,
3x° +2x° + 4x° = 180°
Add the x°
9x° = 180°
Divide both sides by 9
x° = 180÷ 9 = 20°
If x° = 20
Then 3x° = 3× 20 = 60°
2x° = 2 × 20 = 40°
4x°= 4× 20 = 80°
Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°
Learn more about angles in a triangle:
brainly.com/question/7620723
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Answer:
x² + y² +10x -6y - 69 = 0
Step-by-step explanation:
We need to write the standard equation of circle with , centre (-5,3) and radius 10 unit . The Standard equation of the circle ⭕ is ,
=> ( x - (-5))² + (y -3)² = r²
=> ( x +5)² + (y-3)² = 10²
=> x² + 25 + 10x + y² +9-6y = 100
=> x² + y² +10x -6y + 31 = 100
=> x² + y² +10x -6y - 69 = 0
<h3>• Hence the equation of the circle is x² + y² +10x -6y - 69 = 0.</h3>