Answer:
The domain of f(x) corresponds to the set of real numbers.
D f(x) ∈ ∀X; D f(x) ∈ R
Step-by-step explanation:
f(x)=X+18-3X-15
f(x)=-2X+3 (right line with negative slope)
This function exists for all values of X, so the domain corresponds to the set of real numbers.
D f(x) ∈ ∀X; D f(x) ∈ R
If he increases the number by 10%, he will have 110% of the number.
Then he reduces it by 10% of the new number, which s 11%.
110% - 11% = 99%
The answer is 99%.
Hope this helps!
Answer:
I guess we have the table:
x f(x)
-4 7
-2 5
0 3
2 1
4 - 1
To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:
slope = (y2 - y1)/(x2 - x1)
let´s use the first two:
(-4,7) and (-2, 5)
Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1
Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:
(-4, 7) and (0,3)
S = (3 - 7)/(0 -(-4)) = -4/4 = -1
Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.
This means that the slope of this function is equal to zero.
This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1
