question_answer 32)

Find gof and fog. If (i) f(x) = |x| and g(x) = |5x – 2| (ii) f(x) = 8x3 and g(x) = x1/3  

Answer:

(i) Given       f(x) = |x|, g(x) = |5x ? 2|       (gof) (x) = g(f(x)) = g(|x|) = |5|x|?2|       (fog) (x) = g(g(x)) = f(|5x ? 2|)       = ||5x ? 2|| = |5x ? 2|       (ii) Given f(x) = 8x3 and g(x) = x1/3           (gof) (x) = g(f(x)) = g(8x3) =