 |
|---|
SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
| PAGE: 71 | SET: Exercises | PROBLEM: 45 |
Average exchange rate from Euros to US dollars is 
.
(a)
Horizontal line test:
A function 
has an inverse 
if and only if no horizontal line intersects its graph of the function in at most one point.
Graph :
Graph the function 
.
Draw the horizontal line 
.
Observe the graph:
The horizontal line touches the graph of the function at only one point.
The function is an one-to-one, because it passes the horizontal line test.
Therefore the inverse of the function exist.
To find the inverse of the function, consider 
and solve 
in terms of 
.
Now interchange and .
Replace 
.
The inverse of is 
.
(b).
The inverse of the function is .
Here represents the value of currency in US dollars and 
represents the currency value in Euros.
Hence represents the average exchange rate from US dollars to Euros.
(c).
In the function , represents the average exchange rate from Euros to US.
The exchange rate should be positive i.e. 
.
(d)
Find the value of 100 US dollars in Euro.
Average exchange rate from US dollars to Euros is .
Substitute 
in .
.
Therefore 
US dollars equals to 
Euros.
(a)The inverse of is .
(b) represents the average exchange rate from US dollars to Euros.
(c) The exchange rate should be positive i.e. .
(d) 
US dollars equals to 
Euros.
|
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
|
"Your site is amazing! It helped me get through Algebra." Charles |
|
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |
Simply chose a support option
  
|