Answer:
Proved!
Step-by-step explanation:
For two functions f(x) and g(x) to be inverses of each other then;
f(g(x)) = x and g(f(x)) = x condition must be satisfied.
<u>Checking: A. f(x) = 7x³ + 10 and g(x) = ∛</u><u />
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So f(g(x)) = 7()³ + 10
We get; 7() + 10 = x - 10 + 10 = x (*<em>This is correct!)</em>
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So g(f(x)) =
Ten cancels out and we are left with;
=
= x (* <em>This is also correct!)</em>
Answer:
The equation of the line passing through the points (4, 6) and (0, 6) will be:
The graph of the equation y = 6 is also attached.
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the points
Finding the slope between (4, 6)and (0, 6).
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 6] / [0 - 4]
= 0 / -4
= 0
Thus, the slope of the line = m = 0
The slope m = 0 means the line is horizontal. Because the slope of the horizontal line is 0.
As the y-values are not changing with respect to the x-values.
Therefore,
The equation of the line passing through the points (4, 6) and (0, 6) will be:
The graph of the equation y = 6 is also attached.
