Two functions f and g are defined by
f:x = 25 /(3x-2)
g:x = x^2
Find the composite function
To find the composite function, we need to substitute g(x) into f(x):
f(g(x)) = f(x^2)
Using the given function f(x) = 25 / (3x-2), we replace x with x^2:
f(g(x)) = 25 / (3(x^2)-2)
Simplifying further:
f(g(x)) = 25 / (3x^2-2)
So, the composite function of f and g is f(g(x)) = 25 / (3x^2-2).