Answer:
D
Step-by-step explanation:
The average rate of change of a function over an interval a ≤ x ≤ b is found by:
Here, a is 0 and b is 3, so:
Just plug in 3 for the first term and 0 for the second term in the numerator:
- First term:
- Second term:
So, the final answer is:
Thus, the answer is D.
Hope this helps!
Function defines relationship between variables. The value of the f[g(x)] when the value of f(x)=6x+11 and g(x)=x²+6 is f[g(x)]= 36x²+47.
<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.
Given to us
f(x) = 6x + 11
g(x) = x² + 6
As we know the two functions, given to us f(x) = 6x + 11, therefore substitute the value of x as g(x) in order to find the value of f[g(x)] ,
Hence, the value of the f[g(x)] when the value of f(x)=6x+11 and
g(x)=x²+6 is f[g(x)]= 36x²+47.
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