Show all the necessary steps clearly and neatly
= 3x + 1 , x E R. Find the value of f ( 9 )
1. The function f ( x ) satisfies 2f ( x ) + 3f
kx3 + 4x2 + 3x - 4 and q ( x ) = x³ - 4x + k leaves
2. Determine the value of k if p ( x ) =
the same remainder when divided by ( x - 3 ) .
3. Let f ( x ) = x² + x - 12 ' 3x² - 3x , then find each of the followings
a ) The domain of f .
b ) Intercepts of f .
c ) Asymptotes of f .
d ) Sketch the graph of f .
4. Solve each of the following equations .
a ) log3 x + log , 2x = 2
b ) 51 + logx + 52 - logx = 30 , x > 0
