​ If f(x) = (x + 3)/(4x - 5), g(x) = (3 + 5x)/(4x - 1), then show that (fog) (x) = x. ​

Question

If f(x) = \(\frac{x+3}{4x - 5}\), g(x) = \(\frac{3+5x}{4x-1}\), then show that (fog) (x) = x.

 (x + 3)/(4x - 5), (3 + 5x)/(4x - 1)

Answer 1

f(x) = \(\frac{x+3}{4x - 5},\) g(x) = \(\frac{3+5x}{4x-1}\)

(fog)(x) = f(g(x))