Question 1144642
{{{𝑓(𝑥) = x+2/(x-3)^2 }}}
{{{f(x)=x+2/(x-3)^2}}}


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 (b) State the domain of the function 𝑓𝑥 (c) Find 𝑓𝑎+4 and simplify
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Domain is the the real numbers less than 3 and the real numbers greater than 3.  The union of  {{{x<3}}} and {{{x>3}}}.


{{{c=a+4}}}
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{{{a+4+2/(a+4-3)^2}}}

{{{a+4+2/(a+1)^2}}}

{{{(a*(a+1)^2+4(a+1)^2+2)/(a+1)^2}}}

{{{(a(a^2+2a+1)+4(a^2+2a+1)+2)(a+1)^2}}}

{{{(a^3+2a^2+a+4a^2+8a+4+2)/(a+1)^2}}}

{{{highlight_green((a^3+6a^2+9a+6)/(a+1)^2)}}}

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