Q3 of 107 Page 18

Find gof and fog, if

(i) f (x) = | x | and g(x) = | 5x – 2 |

(i) f(x) = |x| and g(x) = |5x -2|

Then, (gof)(x) = g (f(x)) = g(|x|) = |5|x|-2|


(fog)(x) = f(g(x)) = f (|5x -2 |) = ||5x -2 || = |5x -2 |


More from this chapter

All 107 →
1

Let f : {1, 3, 4} → {1, 2, 5} and g : {1, 2, 5} → {1, 3} be given by

f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. Write down gof.

 2

Let f, g and h be functions from R to R. Show that

(f + g)oh = foh + goh


(f . g)oh = (foh) . (goh)

 3

Find gof and fog, if

 4

If , show that fof(x) = x, for all . What is the inverse of f?