math help question...help please?

Question

f(x)={(3,5),(2,4),(1,7)}
h(x)={(3,2),(4,3),(1,6)}
determine each of the following
(f+h)(1)=
(f?h)(3)=
f^-1(x)=
1/f(x)=

by the way i have been trying to find information on how to do this type of problem for forty five minutes and i cant find anything. so if someone could just help me get started that would be greatly appreciated. also i cant seem to find what the question mark means. im not trying to get off the easy way i just have no idea what im doing and i need help. i understand how to do these types of problems when the f(x) and h(x) are equations but not when they are coordinates. should the answer be coordinates or an equation?

Answer 1

OK. THe ordered pairs in a function are of the form (x,f(x)), so f(1)=7 since (1,7) is one of the pairs for the function f. Similarly, g(1)=6. Thus (f+g)(1)=7+6=13.

f^(-1)(x) is the inverse function of f, which just reverses the coordinates of the ordered pairs for f: so (6,1) will be one pair for f^(-1)(x). There are two others.

1/f(x) takes the reciprocal for each f(x) value, so (1,1/6) will be one pair for it. There are two others.

Answer 2

When the function is listed as several ordered pairs, it means (in your first example) that f(3) = 5, f(2) = 4, and f(1) = 7.

(f+h)1 means f(1) + h(1), which is 7+6 or 13

The next one looks like f?h so I don't know what that is

Next, f^-1(x) means the inverse of f, which is done by reversing the ordered pairs:
{(5,3), etc

The last one, unless it's a special notation in your book, means the reciprocal of f(x) which would be {(3, 1/5), etc. However, it could be a different way of writing the inverse of f. Check your text.

Answer 3

Man, only if you had of asked this question 10 years ago! There is software that can help you with your math. Sam's warehouse sells it. I belive it's called high school advatage. There are several disks for different subjects. I used it a few years ago to help refresh my memory for a college placement test. I ended up only missing one question.

Sorry this answer doesn't answer your immediate need at the time, but it can help you a lot for your future homework.

Good luck!

Answer 4

It's called, "do your own work." Look into it!

Stop trying to get other people to do your homework and do it yourself. How do you expect to learn it if you don't do the work?