Given the function g(x) = x2 + 10x + 20, determine the average rate of change of
1 answer:
A function assigns the values. The average rate of change for the given function g(x) is 1.
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
The average rate of change of a function is given by the formula,
Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]
Where a is the lower limit and b is the upper limit.
Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,
a = 0
g(a) = 0²+10(0)+20 = 20
b = -9
g(b) = (-9)²+10(-9)+20 = 11
The average rate of change for the function g(x), can be written as,
Hence, the average rate of change for the given function g(x) is 1.
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B
To solve for the inverse, just swap the x and y and solve for the new y.
Then inspect both functions for the domain.
In the original function, x has to be greater than or equal to 0 or else you would have a negative square root which is impossible.
The inverse function has no limitations as any x could make that true.
The main things that will limit domain is square root of negative or divide by zero.
Therefore, x>=0 is the only domain restriction.