Question

Find and simplify each of the following for fx = 6x -3. (A) f(x+ h) (B) f(x +h) - f(x) (C) f(x + h) - f(x)/h

Answer 1

Answer:

A

$f(x+ h) = 6x + 6h -3$

B

$f(x+ h) - f(x) = 6h$

C

 $\frac{f(x + h) - f(x)}{h} = 6$

Step-by-step explanation:

From  the question the given equation is  

     $f(x) = 6x -3$

Considering A

      $f(x+ h) = 6(x + h) -3$

=>    $f(x+ h) = 6x + 6h -3$

Considering B

     $f(x+ h) - f(x) = 6x +6h -3 - (6x-3)$

     $f(x+ h) - f(x) = 6h$

Considering C

    $\frac{f(x + h) - f(x)}{h} = \frac{6h}{h}$

    $\frac{f(x + h) - f(x)}{h} = 6$