See the attached picture:
To find the inverse of this function, we first need to replace f(x) with y.
y = 2x^2 + 3
Now, we swap x and y
x = 2y^2 + 3
Now, we solve for y.
-3
x - 3 = 2y^2
Sqrt both sides.
√(x - 3) = 2y
Divide by 2
√(x - 3)/2 = y
Replace y with f^-1(x)
√(x - 3)/2 = f^-1(x)
Just realized you were asking for f(-1), not f^-1(x)
Feels bad.
f(-1) = 2(-1^2 + 3)
f(-1) = 2(-1^5)
f(-1) = 2(-1)
<u>f(-1) = -2</u>
I'm leaving the original answer in case you also need the inverse function. :)
$7.20 per hour, 1.5*$7.20 = $10.80/hour for overtime
40*$7.20 + (44.5-40)*$10.80 = $336.60 in gross earnings
What level math courses are these if you don’t mind me asking? Enjoy the answers :’)
Part 1A)
Let Y be the number of tickets sold.
Y = 2.5X
Part 1B)
0=0
2=5
4=10
6=15
Part 1C)
You have to do the graph independently.
Part 1D)
There were 10 tickets sold and $25 were made.
Part 2A)
Holi earns more, 0.50¢ / hour
Part 2B)
Let X be the hours worked
Let Y be the total pay
Y = 8.75X
