Question 1048310

{{{f(x) = x^2 + 6x + 7}}},

 evaluate 

{{{f(x + 2)- f(x)}}}

first find {{{f(x + 2)}}}
 
{{{f(x + 2)=(x + 2)^2 + 6(x + 2) + 7}}}

 
{{{f(x + 2)=x^2 + 4x+4 + 6x +12 + 7}}}

{{{f(x + 2)=x^2 + 10x+23}}}


now find {{{f(x + 2)- f(x)}}}


{{{f(x + 2)- f(x)=x^2 + 10x+23-(x^2 + 6x + 7)}}}

{{{f(x + 2)- f(x)=x^2 + 10x+23-x^2 - 6x - 7}}}

{{{f(x + 2)- f(x)=cross(x^2) + 10x+23-cross(x^2) - 6x - 7}}}

{{{f(x + 2)- f(x)= 4x+16}}}