replace the x with the function.
g of (f(x))
2/(3(x+4/x) -1
I am not sure the g(x) is (x+4)/x or is is x plus 4/x
that matters when simplifying.
f(x) = 2/3x-1
g(x) = x+4/x
(g o f)(x) = ?
x does not equal 1/3
Can someone explain how to do this one?
2 answers
Assuming the usual carelessness with parentheses, I guess you have
f(x) = 2/(3x-1)
g(x) = (x+4)/x
g(f) = (f+4)/f
= (2/(3x-1)+4)/(2/(3x-1))
= 6x-1
f(x) = 2/(3x-1)
g(x) = (x+4)/x
g(f) = (f+4)/f
= (2/(3x-1)+4)/(2/(3x-1))
= 6x-1
1 answer