Given:
[tex]f(x)=x+6[/tex]
Assuming
[tex]h\ne0[/tex]
Compute:
[tex]\begin{gathered} \frac{f(x+h)-f(x)}{h}= \\ =\frac{(x+6+h)-(x+6)}{h} \end{gathered}[/tex][tex]\begin{gathered} =\frac{x+6+h-x-6}{h} \\ =\frac{h}{h} \\ =1 \end{gathered}[/tex]
Hence, the required answer is :1
