Homework Help: Math (Ms. Sue Please Help)

Posted by Christian on Monday, September 12, 2011 at 8:39pm.

Determine whether the following statement makes sense or does not make sense, and explain your reasoning (modified from true/false format of text): If

f(x) = 3x, then f^-1 (x) = 1/3x

A) This makes sense because the inverse would divide by 3 to "undo" the multiplication by 3 in f(x).

B) This does not make sense because although we would divide by 3 to "undo" the multiplication by 3 in f(x), the x would appear in the numerator not the denominator.

Math (Ms. Sue Please Help) - bobpursley, Monday, September 12, 2011 at 8:44pm
You have to be careful with the term inverse funtion.That is not the same as reciprocal.

if f(x)=3x=y
then the inverse can be found this way:
y=3x
x=3y
y=x/3 or f^-1(x)=x/3

check: inverse(function)must equal x

so f^-1 (f)= 3(x/3)=x so in fact it is the inverse.
So false. Go with B. When dealing with functions, the term "inverse" seldom means reciprocal.
math - Christian, Monday, September 12, 2011 at 8:44pm
Please help HM
Math - Christian, Monday, September 12, 2011 at 8:50pm
are u sure about this
Math (Ms. Sue Please Help) - Ms. Sue, Monday, September 12, 2011 at 8:53pm
Christian -- Bobpursley is a math/physics/teacher. HM is probably a high school student.
Math (Ms. Sue Please Help) - bobpursley, Monday, September 12, 2011 at 8:54pm
Yes, Christian. But dont trust me. http://www.youtube.com/watch?v=Ec5YYVxyq44 That is the same message.

Answer this Question

Related Questions

Algebra (please help) - Determine whether the following statement makes sense or...
Math - Determine whether the following statement makes sense or does not make ...
Math - Determine whether the following statement makes sense or does not make ...
Physics - Specifically, which of the following best expresses your view: i. Many...
Physics - Specifically, which of the following best expresses your view: i. Many...
Physics - Specifically, which of the following best expresses your view: i. Many...
Medical Transcription - HEENT: normal sulfanilic, normal hair distribution. Does...
Algebra - f(g(x)) =. Does this make sense or not? A) This makes sense because f(...
English - Choose a sentence that makes sense: Also pick a word from the ...
heath - Heath? How do you do it? Your question doesn't make any sense to me...

For Further Reading

First Name:
School Subject:
Answer: