9514 1404 393
Explanation:
<h3>Part 1.</h3>
The inverse of a function y = f(x) can be found by solving x = f(y) for y.
When we do that here, we find ...
When we compare this to g(x), which we want to be the inverse of f(x), we see that ...
cx -d = bx -a ⇒ b=c, and d=a
We can choose a=d=1 and b=c=2 to make the two functions inverses:
f(x) = (x +1)/2
g(x) = 2x -1
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<h3>Part 2.</h3>
The inverse of f(x) is g(x) if f(g(x)) = x.
f(g(x)) = ((2x -1) +1)/2 = 2x/1 = x . . . . . g is the inverse of f
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<h3>Part 3.</h3>
Same as Part 2, but in reverse.
g(f(x)) = 2((x +1)/2) -1 = (x +1) -1 = x
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<h3>Part 4.</h3>
The attachment is a graph of the two functions and a table of values. The line y=x is the dashed orange line. You will notice that f(x) and g(x) are reflections of each other across that line.
Answer:
2.995 ou 35.940 (?)
Step-by-step explanation:
Não me lembro exatamente como fazer isso, vou mostrar duas maneiras diferentes de resolver isso.
Use a fórmula l = P * r * t
| = Juros
P = Principal
r = taxa
t = tempo
Para resolver isso, você terá que ... O principal é 29.950, a taxa é 5%, mas se tornará um decimal que é 0,05, e o tempo é 2 Coloque-o na forma de fórmula 29.950 * 0,05 * 2 = 2.995 em interesse
Ou .. Você usará a mesma fórmula, mas desta vez multiplique 0,05 por 12, pois há 12 meses em um ano que é 0,6, então ... 29.950 * 0,6 * 2 = 35.940 de juros
Espero que funcione!
Answer:
b. between $3.04 and $3.36
Step-by-step explanation:
Given,
Price of 1 gallon of gasoline = $3.20
Margin of Error = 5%
We have to find out average cost of gallon of gasoline.
For this, we have to find out 5% of the price of gasoline. Which is calculated by dividing 5 by 100 and then multiply it by 3.20.
Amount of margin of error = 
Hence The margin of error is ±, So we will subtract the amount of margin of error with actual amount of 1 gallon of gasoline. Also we will add the amount of margin of error with actual amount of 1 gallon of gasoline.
Margin of error 1 = 
Margin of error 2 = 
Hence the Average cost of a gallon of gasoline should be between $3.04 and $3.36.
Answer:
(-3,3)
Step-by-step explanation:
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