A. ) TOPIC: RATIONAL FUNCTIONS

DIRECTION:

- DERIVE A MATHEMATICAL EQUATION REPRESENTING THE AMOUNT OF TIME IN MINUTES CONSUMED IF BOTH OF YOU AND YOUR MOTHER DO THE CHORE TOGETHER.

- CALCULATE THE AMOUNT OF TIME CONSUMED IF BOTH OF YOU AND YOUR MOTHER DO THE CHOIR TOGETHER. SHOW APPROPRIATE SOLUTION.

PROBLEM:

HERES THE QUESTION:

- MY MOTHER CLEAN THE WHOLE HOUSE IN 25 MINUTES. WHEN IM GOING TO CLEAN THE HOUSE IT TAKES 30 MINUTES TO CLEAN. WHEN MY MOTHER AND I CLEAN THE WHOLE HOUSE IT ONLY ENDS IN 15 MINUTES...

SCENARIO: HOW CAN YOU PROVE THAT YOU AND YOUR MOTHER CLEAN THE HOUSE EASIER WHEN YOU ARE TOGETHER. USE RATIONAL EQUATION TO MAKE EQUATION AND SOLVE IT...

B.) TOPIC: INVERSE FUNCTION

A. Determine whether and are inverse functions using the condition that f[g(x)] and g[f(x)] = x.

1. g(x)=3x2andf(x)=3x+2
2. f(x)=5x+10andg(x)=51x2

B. Find the inverse of each function and verify your answer.

1. f(x)=4x+12x1
2. f(x)=(x+4)4