Answer: h(x)
Explanation:
1) f(x) is not a function because there is an ambiguity for x = 4.
x = 4 belongs to both intervals - 2 ≤ x ≤ 4 and x ≥ 4
Then you find two different possible images for x: 0 and -(2)^2 = - 4.
That makes that f(x) be not a function.
2) similar thing happens with g(x)
as per the given relation the value of g(x) for x = 2 is 4 and 4+1 = 5. Which makes that g(x) be not a function.
3) j(x) is not a function because the image of x = -4 is -3(-4) = 12 and 3.
4) h(x) is a function, because there is not any ambiguity in its definition, for every x in its domain there is only one image h(x).
The expression that completes the function b(x) is b(x) = 33741 * (1.028)^x
<h3>How to determine the expression of b(x)?</h3>
The given parameters are:
Initial value, a = 33741
Rate, r = 2.8%
The cost of tuition each year since 2015 is represented as
B(x) = a * (1 + r)^x
This gives
B(x) = 33741 * (1 + 2.8%)^x
Evaluate
b(x) = 33741 * (1.028)^x
Hence, the expression that completes the function b(x) is b(x) = 33741 * (1.028)^x
Read more about exponential functions at:
brainly.com/question/12636638
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<u>Complete question</u>
A study estimates that the cost of tuition at a university will increase by 2.8% each year. The cost of tuition at the University in 2015 was $33,741 the function b(x) , models the estimated tuition cost , where x is the number of years since 2015.
Find the expression that completes the function b(x)
Answer:y=-1/2
Step-by-step explanation:
125=(1/25)^(y-1)
5^3=(5^(-2))^(y-1)
5^3=5^(-2(y-1))
The same base eliminate each other we then have
3=-2(y-1)
3=-2y+2
Collect like terms
2y=2-3
2y=-1
Divide both sides by 2
2y/2=-1/2
y=-1/2
Answer:
x = 4
y = 2
Step-by-step explanation:
x - y = 2
x = 2 + y
2x + 3y = 14
2(2 + y) + 3y = 14
4 + 2y + 3y = 14
4 + 5y = 14
5y = 10
y = 2
x - y = 2
x - 2 = 2
x = 4
Answer:
Step-by-step explanation:
Please excuse my handwriting lol.
