Answer:
Step-by-step explanation:
[tex]f(x)=2x+6\\\\f(x+1)-\text{substitute}\ x+1\ \text{instead of x}:\\\\f(x+1)=2(x+1)+6\qquad\text{use the distributive property}\\\\f(x+1)=2x+2+6\qquad\text{combine like terms}\\\\f(x+1)=2x+8[/tex]