SOLUTION: I was hoping someone could check my work on this function, and help explain why it is, or isn't a viable answer. Thank you. f(x)= -6+x ______ 7+3x Find f(y+2).

Algebra ->  Functions -> SOLUTION: I was hoping someone could check my work on this function, and help explain why it is, or isn't a viable answer. Thank you. f(x)= -6+x ______ 7+3x Find f(y+2).       Log On


   

Question 1080335: I was hoping someone could check my work on this function, and help explain why it is, or isn't a viable answer. Thank you.
f(x)=
-6+x
______
7+3x

Find f(y+2).
f(y+2)=???

I thought the answer might be something like...
f(y+2)=
y-4
______
3y+13
Answer by Edwin McCravy(20081) About Me  (Show Source):
You can put this solution on YOUR website!
If you have an equation for f(x), like

f(x) = 4x + 3

Then if you are asked for f(a), that means to substitute
a for x.

f(a) = 4a + 3

If there is a number in the parentheses like 2, that is,
if you are asked for f(2), you substitute 2 for x, and simplify:

f(x) = 4x + 3
f(2) = 4(2) + 3
f(2) = 8 + 3
f(2) = 11

If there is an expression like y+2 in the parentheses, that
is if you are asked for f(y+2) you substitute y+2 for x, then
simplify:

f(x) = 4x + 3
f(y+2) = 4(y+2) + 3
f(y+2) = 4y+8 + 3
f(y+2) = 4y+11

The left side stays f(y+2). It does not mean "fy+2f".  It looks like
multiplication but it is not. 

You always substitute what is in the parentheses for x and simplify,
if possible.

Sorry we can't figure out what you are asking.  If you'll copy it
word-for-word exactly like it's stated in your book or computer
page, we can help you.  If you type it just as it is given in the 
book in the thank-you note form below, we'll get back to you by email.

Edwin