Given:
The function are


To find:
The value of
.
Solution:
We have,


We need to find the value of
.
![[\because (f\circ g)(x)=f(g(x))]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28f%5Ccirc%20g%29%28x%29%3Df%28g%28x%29%29%5D)
![[\because g(x)=\sqrt{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%5Csqrt%7Bx%7D%5D)
![[\because f(x)=x^2-1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%5E2-1%5D)
The value of
is 0.
Therefore, the correct option is A.
Answer:
D. 1800°
Step-by-step explanation:
The given polygon has 12 sides.
The formula for finding the sum of the interior angles of an n-sided polygon is given as, ( n − 2 ) × 180.
Where n is the number of sides of the polygon.
Thus, the sum of the interior angles of the 12 sided polygon given above is:
(12 - 2) × 180
= 10 × 180 = 1800°
<em>Sum of the measures of the interior angles of the 12-sided polygon is D. 1800°</em>
Answer:
2.
i) (c)
ii) (d)
iii) (b)
iv) (a)
3.
ii) 80°
Step-by-step explanation:
2.
i) 2x+x+3x=180°
x=30°
ii) x+110=180
x=70
iii) x+2x+30°=180
x=50°
iv) 2x+15°+45°+x=180
3x+60°=180
x=40°
3.
ii) 2x+5+25=180°
2x+30°=180°
x=75°
the measure: x+5°= 75°+5°=80°
Answer:
1. Josh's father: f Josh: f/2 - 2
2. f + (f/2 - 2) ≥ 49
3. 3/2 f - 2 ≥ 49
3/2 f ≥ 51
3f ≥ 102
f ≥ 34
4. 34