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.
P- (-1,7) Q-(2,7) R-(7,-3) S-(-4,-4)
Answer:
Probability [Randomly selected voter affiliated with other party] = 1/20
Step-by-step explanation:
Given:
Percentage of Democrats voters = 42%
Percentage of Republican voters = 53%
Find:
Probability [Randomly selected voter affiliated with other party]
Computation:
Percentage of other party voters = 100% - [Percentage of Democrats voters + Percentage of Republican voters]
Percentage of other party voters = 100% - [42% + 53%]
Percentage of other party voters = 100% - 95%
Percentage of other party voters = 5%
Probability [Randomly selected voter affiliated with other party] = Percentage of other party voters / 100%
Probability [Randomly selected voter affiliated with other party] = 5% / 100%
Probability [Randomly selected voter affiliated with other party] = 1/20
2x(-7)^2-9 = 2x49-9=98-9=89 maybe
The initial velocity: v o = 20 m/s.And : a = 1.5 m / s² , t = 5 s.The final velocity formula:v = v o + a · tv = 20 + 1.5 · 5v = 20 + 7.5v = 27.5 m /sAnswer: The car`s final velocity is 27.5 meters / second.
