Answer:
The inverse relation G^(-1) is not a function. Why not? Because the y value y = 3 is paired up with more than one x value (x = 5, x = 2). The inverse relation G^(-1) is the set shown below
{(3,5), (3,2), (4,6)}
All I've done is swap the (x,y) values for each ordered pair to form the inverse relation. As you can see, x = 3 leads to multiple y value outputs which is why this relation is not a function. So in short, the answer is choice C. To have the inverse relation be a function, each value in the original domain must map to exactly one value in the range only. However that doesn't happen as the domain values map to an overlapping y value (y = 3).
Answer: 20π/9 cm²
Step-by-step explanation:
Central angle is given as = 50°
We should note that for a complete circle to be made, it needs 360∘. Therefore, this is 50/360 = 5/36 of the area of a sector.
Area of the sector = 5/36 × πr².
= 5/16 × π × 4²
= 5/36 × π × 16
= 80π/36
= 20π/9 cm²
Answer:
96 cm³
Step-by-step explanation:
V=1/2×6×8×4=196/2=96cm³
Answer:
<em>(f-g)(x)=x+14</em>
Step-by-step explanation:
<u>Operations with Functions</u>
Given two functions f(x) and g(x), the following operations are defined:
(f+g)(x)=f(x)+g(x)
(f-g)(x)=f(x)-g(x)
(f*g)(x)=f(x)*g(x)
(f/g)(x)=f(x)/g(x)
We have f(x)=3x+10 and g(x)=2x-4. Use the second formula to find
(f-g)(x)=(3x+10)-(2x-4)
Operating:
(f-g)(x)=3x+10-2x+4
Joining like terms:
(f-g)(x)=x+14
Answer:
let the blank be x
2 + 900 + 4,000 +50,000 + 10 + x = 354912
x + 54912 = 354912
x + 54912-54912 = 354912 - 54912
x = 300,000
Step-by-step explanation:
hope that will help you
