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Harrizon [31]
3 years ago
10

Evaluate the function.

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

Answer:

Step-by-step explanation:

f(0) = 3(0)-1= -1

f(1) =3(1)-1 =2

f(-4) =3(-4) -1 = -13......continu

Natali5045456 [20]3 years ago
5 0
As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.

1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16

Hope this helps! Good luck!
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Maggie’s brother is three years younger than twice her age. The sum of their ages is 24. How old is maggie?
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To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:

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To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.

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