Answer:
g(x) - f(x) = x² - 4x - 2
The domain would be all real numbers for x. Or (-∞, ∞). Because there are no values that you could plug in for x that would make the function undefined.
Step-by-step explanation:
g(x) - f(x) = (x² - x + 2) - (3x + 4)
= x² - x + 2 - 3x - 4
= x² - 4x - 2
Explanation:
Any function that has a derivative that changes sign will have an extreme value (maximum or minimum). If the derivative never changes sign, the function will not have any extreme values.
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Logarithmic, exponential, and certain trigonometric, hyperbolic, and rational functions are monotonic, having a derivative that does not change sign. Odd-degree polynomials may also have this characteristic, though not necessarily. These functions will not have maximum or minimum values.
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Certain other trigonometric, hyperbolic, and rational functions, as well as any even-degree polynomial function will have extreme values (maximum or minimum). Some of those extremes may be local, and some may be global. In the case of trig functions, they may be periodic.
Composite functions involving ones with extreme values may also have extreme values.
Answer:
The triangles are similar by AAA
Step-by-step explanation:
Here, we want to show that the two triangles are equal
for each of the two, we can see that we have two angles
mathematically, the sum of the angles in a triangle is 180
For the bigger one,
The last angle will be;
180-85 -50 = 45
For the smaller one;
the last angle will be;
180 - 85 - 45 = 50
The angles in the bigger are 45,50 and 85
The angles in the smaller are 45,50 and 85
This shows that both triangles are completely congruent by AAA (angle-angle-angle)
Answer:
y = 4x - 48
Step-by-step explanation:
y = 1/4 x - 12
x = 1/4 y - 12
4x = y - 48
y = 4x - 48
Let the number be x
2x-16=42
2x=42+16
2x= 58
x=29
not sure if it’s right!!