Answer:
Please see below.
Step-by-step explanation:
f^-1 (x) essentially means the reverse.
We can substitute y for x in the equation and solve for y:
x = 4y -1
x+1 = 4y
y = (x+1)/4
so that is our answer for the first one:
f^-1(x) = (x+1)/4
We do the same trick for the second question:
x = 2y +1
x-1 = 2y
y = (x-1)/2
so the answer is f^-1(x) = (x+1)/2
The last question is slightly more complex, we can write is as:
x = 2y/(y-1)
x(y-1) = 2y
yx -x = 2y
yx = 2y + x
yx - 2y = x
y(x-2) = x
y = x/(x-2)
so the answer is x/(x-2)
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Answer:
y=-115
Step-by-step explanation:
y/5+4=-19
y/5=-23
y=-115
y=mx+b where m is the slope and b is the y intercept.
Answer:
2x^2 + 3x + - 2 + 7
4x + 3x - 2 + 7
7x + 5
Step-by-step explanation:
2x^2 + 3x + - 2 + 7
4x + 3x - 2 + 7
7x + 5
Answer:
see below
Step-by-step explanation:
Let r = number of rides
total amount of money spent has to be less than or equal to 50
costs are admission and food and rides
rides cost 1.50 each
50≥ admission + food + rides
50 ≥ 15 +10 + 1.50r
Combine like terms
50 ≥25 + 1.50 r
Subtract 25 from each side
50-25 ≥25-25 + 1.50 r
25 ≥ 1.50 r
Divide by 1.5 on each side
25/1.5 ≥ 1.5r/1.5
50/3 ≥ r
Changing this to a mixed number
16 2/3 ≥r
We can only take a whole number of rides
r = 16
Beverly has not spent all of her 50 dollars since there was a fraction for the rides
cost = 15 +10 + 1.50r
15+10 + 1.5*16
25+24
49
She has 1 dollar left
