2.
h(x) = 1/(x - 1)
<em><u>Replace h(x) with y.</u></em>
y = 1/(x - 1)
<u><em>Swap x and y.</em></u>
x = 1/(y - 1)
<em><u>Solve for y.</u></em>
<em><u>Multiply both sides by (y - 1)</u></em>
x(y - 1) = 1
<em><u>Distributive property.</u></em>
xy - x = 1
<em><u>Add x to both sides.</u></em>
xy = 1 + x
<em><u>Divide both sides by x.</u></em>
y = 1/x + 1
<em><u>Replace y with h^-1(x)</u></em>
H^-1(x) = 1/x + 1 is the inverse function for question 2.
4.
h(x) = 4/(x + 2)
<em><u>Replace h(x) with y.</u></em>
y = 4/(x + 2)
<em><u>Swap y and x.</u></em>
x = 4/(y + 2)
<em><u>Solve for y.</u></em>
<em><u>Multiply both sides by y + 2.</u></em>
x(y + 2) = 4
<em><u>Distributive property.</u></em>
xy + 2x = 4
<em><u>Subtract both sides by 2x.</u></em>
xy = 4 - 2x
<em><u>Divide both sides by x.</u></em>
y = 4/x - 2
<em><u>Replace y with h^-1(x)</u></em>
H^-1(x) = 4/x - 2 is the inverse function for question 4.
Answer:
30
Step-by-step explanation:
6x
Replace 'x' with 5.
6(5) =
6 * 5 =
30
Hope this helps.
Kaylynn's Salary is $328.125 or rounded to is $330
Amanda's Salary is $312.625 or rounded to is $312
The difference between them is $15.50 or your rounded answer is 18
Answer:
x is 71
Step-by-step explanation:
X + 72 + 37 = 180 ( Sum of angles in a triangle)
X = 180 - 72 - 37
X = 71
Answer:
D.) $12n + $8u = 112 ;u = 4 + n
Step-by-step explanation:
Given that :
Cost per new books (n) = $12
Cost per used book (u) = $8
Total revenue earned = $112
store sold 4 more used books than new books
Hence,
Total revenue should be :
Revenue from new books + Revenue from used book = total revenue
Revenue from new books = $12 * n = $12n
Revenue from used books = $8 * n = $8n
$12n + $8u = 112
Number of books sold :
Number of used books sold = 4 + number of new books sold
u = 4 + n
