Question

Can someone help me out with functions? How do you solve a function set up as f(g(x))? I need help with the concept, not a specific problem.

Answer 1

specific problem to help you explain, though: Let f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x)).

Answer 2

okay :
now f(x)=9x-2
this is a function of x (that is why x is in brackets)
now when its f(g(x)): the function is of g(x)
so basically you hav to substitute g(x) in place of x.
according to your question:
f(g(x))= 9(-x+3)-2

Answer 3

Oh, okay...so this would be...-9x + 25?

Answer 4

It's been over a year since I've had a math class, and I had a handle on these a few weeks ago, but I had to drop and re-enroll in the course (algebra II), so I lost all my new understanding of them. Lol. That just brought it back, though.

Answer 5

yes u r right!
sorry i lost net connection!

Answer 6

Thanks!! You helped a lot!

Answer 7

Could you help with another brand of functions?

Answer 8

sure!

Answer 9

How do you solve something where f is raised to the power of -1?

Answer 10

f^-1(x) is an inverse function, right?

Answer 11

yup!

Answer 12

How do you solve that? e.g. Let f(x) = x2 - 16. Find f-1(x).

Answer 13

x^2 and f^-1x, btw.

Answer 14

okay:

Answer 15

ill give u another example and will solve this one!

Answer 16

Thanks so much :)