9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
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1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
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3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
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5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
He earns 23 000 000 per 80 games for 48min
Per game he earns

If he earns 782 500 per game he earns 5 989,5833 per minute

If he played 2/3 of the time he played 32min which means he earned...

So he trained 35hours for a 48min match
Together that is 35.8hours
But I dont think this really matters here you just have to multiply 24453.125 with 60
And you get his hourly salary which is 1 467 187.5
Answer:
After increasing their employees by 18% they will now have 531 total employees.
Step-by-step explanation:
0.18 x 450 = 81
81 + 450 = 531
Answer:
4213
Step-by-step explanation:
go to the numbers that pop out and do it backwards.