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

(ii) f(x) = 8×3 and g(x) = x1/3 .

solution:

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

gof =(gof)(x) = g(f(x) = g(|x|) = |5 |x| – 2|

mist = (fog)(x) = f(g(x)) = f(| 5x – 2 |) = ||5x – 2|| = | 5x – 2 |

(ii) f(x) = 8×3 and g(x) = x1/3 .

gof =(gof)(x) = g(f(x) = g(8×3) = (8×3 )1/3 = 2x

mist = (fog)(x) = f(g(x)) = f(x1/3 ) = 8(x1/)3 = 8x