Question

let f(x) =Ax+B and g(x)=Cx+D where A≠0, C≠0. find h(x) =(gºf)^-1(x).
What are the slope and vertical intercept of h(x)?

Answer 1

Can you compose g(f(x))?

Answer 2

Use f(x) as the input replacing the x in g(x).

Answer 3

what does (gºf)^-1 means?

Answer 4

Ah, g o f means the composition of functions g and f and is read, "g of f" - it means the same thing as g(f(x)).

Answer 5

It's a function inside another function, so instead of finding the function of a number, you are doing a function-of-a-function.

Answer 6

The thing that looks like a -1 exponent really isn't an exponent, it's a symbol that means inverse.

Answer 7

It's used because if you put something to the -1 power it flips it upside-down and is literally what the word, 'invert' means.
e.g. (3/4)^-1 = 4/3.
However, there are other kinds of inverses. The inverse of addition is subtraction, the inverse of squaring is taking square-roots, etc.
So invert doesn't always mean flip upside-down, but it uses the same ^-1 symbol to generalize the idea.

Answer 8

So what you have to do here is first find g(f(x)), then take the inverse of that function.

Answer 9

i get it now thNK YOU

Answer 10

Cool. Let me know what you get.