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- anonymous

Using the two functions listed below, insert numbers in place of letters A,b,c and d so that f(x) and g(x) are inverse

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- anonymous

- schrodinger

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- anonymous

what are the two functions...?

- anonymous

stull need help?

- anonymous

Here is the full question
Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)=
x+a
b
g(x)=cx−d
Part 2. Show your work to prove that the inverse of f(x) is g(x).
Part 3. Show your work to evaluate g(f(x)).
Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include 5 values for each function. Graph the line y = x on the same graph.

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- anonymous

@BlooooooBlahBLIIIIK

- anonymous

- jdoe0001

hmmm have you covered inverse functions yet?

- anonymous

Yes @jdoe0001

- jdoe0001

hmmm need to dash in a bit
but hmm what I'd do is, pick two random values for "a" and "b"
say 2 and 3
so f(x) = x+ab
f(x) = x+(2 * 3)
f(x) = x +6

- jdoe0001

so, if we use 2 and 3 for "a" and "b"
we end up with a function in "x" terms
so to find f(x), or "y"
we can simply use some "x" value, say 4
f(x) = x +6
x=4
f(x) = 4+6
f(4) = 10

- anonymous

Wait

- anonymous

It's f(x)=x+a/b

- jdoe0001

so... all that is thus far f(x) only
BUT
recall that the domain of one function, is the range of the inverse function
that is
if we use x= 4, as INPUT, and our OUTPUT is 10
then the inverse would have to take in, 10 and output 4

- anonymous

So y=x+2/3?

- jdoe0001

yes... using a/b
then get a random value for "x", to get some "y"

- anonymous

Okay so would that be the inverse function for fx?

- jdoe0001

so you get some OUTPUT from some INPUT
and reverse that on g(x)
IF g(x) is to be the inverse function, the OUTPUT of f(x), will serve as the INPUT for g(x)

- jdoe0001

and if you use those INPUT and OUTPUT values from f(x)
into g(x)
you can then solve for either "c" or "d"
and use a random "d", to get a "c", or the other way around
and g(x) will end up being the inverse
because of the INPUT and OUTPUT swap

- jdoe0001

anyhow... dashing :)

- anonymous

Okay.... So how would I get the equations

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