Answer
Find out the total monthly charges for x cubic feet of water used .
To prove
As given
A water company charges a connection fee each month of $22 and an additional $2.30 per cubic foot of water used.
Than the equation become
Total monthly charges for x cubic feet of water used = Monthly connection fee + charges for x cubic feet of water
thus
f(x) = 22 + 2.30x
where x is the x cubic feet of water used .
Therefore Option (B) is correct i.e f(x) = 22 + 2.30x .
Step-by-step explanation:
This is an exponential increase. As represented in the picture, approximately 77 lilly pads will be produced after 50 days when there is initial of 22.
Answer:
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Step-by-step explanation:
The value of the composite function f(g(x)) is 2x^2 + 15
<h3>How to evaluate the composite function f(g(x))?</h3>
The functions are given as:
f(x) = 2x + 1
g(x) = x^2 + 7
We have the function f(x) to be
f(x) = 2x + 1
Substitute g(x) for x in the equation f(x) = 2x + 1
So, we have
f(g(x)) = 2g(x) + 1
Substitute g(x) = x^2 + 7 in the equation f(g(x)) = 2x + 1
f(g(x)) = 2(x^2 + 7) + 1
Open the brackets
f(g(x)) = 2x^2 + 14 + 1
Evaluate the sum
f(g(x)) = 2x^2 + 15
Hence, the value of the composite function f(g(x)) is 2x^2 + 15
Read more about composite function at
brainly.com/question/10687170
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<u>Complete question</u>
if f(x) = 2x + 1 and g(x) = x^2 + 7
which of the following is equal to f(g(x))