Let f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x)).

Solution:

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.

Given, functions are f(x) = 9x - 2

g(x) = -x + 3

We have to find f(g(x))

f(g(x)) = f(-x + 3)

= 9(-x + 3) - 2

Using the distributive property

= -9x + 27 - 2

= -9x + 25

Therefore, f(g(x)) = -9x + 25.

Let f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x)).

Summary:

Let f(x) = 9x - 2 and g(x) = -x + 3, f(g(x)) = -9x + 25.