Answer: a) 
Step-by-step explanation:
Since we have given that
a.) Find the inverse of f(x) and name it g(x).
Let f(x) = y
So, it becomes
Switching x to y , we get
b) . Use composition to show that f(x) and g(x) are inverses of each other.
Similarly,
so, both are inverses of each other.
c) Draw the graphs of f(x) and g(x) on the same coordinate plane.
As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x
And both f(x) and g(x) are symmetry to y=x.
∴ f(x) and g(x) are inverses of each other.
H(ft) = √ (13² - 4²) = 12.4
It is a right-angled triangle and the Pythagorean theorem applies.
THEOREMA (by Pythagoras):
Given a right-angled triangle ABCABC as in the figure, then the relation is valida2 + b2 = c2a2 + b2 = c2where cc is the hypotenuse of the triangle and b, ab, a are the cathets.
h(ft) = √ (13² - 4²) = 12.4
If the line that goes through (9, 6) is perpendicular to y = -1/3x + 7, then their slopes will be opposite reciprocals. The slope of the line given is -1/3. The opposite reciprocal of -1/3 is +3. If we have our new line passing through point with x coordinate 9 and y coordinate 6, we will use that x and y and the slope of 3 to solve the slope-intercept equation for b. Like this: 9 = 3(6) + b. 9 = 18 + b and b = -9. That means that the new equation, the one that is perpendicular to the given line, is y = 3x - 9.
Company 1: (24 + 26 + 28 + 23 + 21) / 5 (this is how many numbers added together) = 24.4
Company 2: (6 + 32 + 9 + 31 + 21) / 5 = 19.8
Company 3 (15 + 15 + 15 + 15 + 15) / 5 = 15
Company 4: (13 + 10 + 45 + 12 + 15) / 5 = 19
Company 1 has the longest average commute time per employee.
