Question 1040028
Part A



{{{f(x) = x^2 - 3}}}



{{{f(a) = a^2 - 3}}} Replace every copy of 'x' with 'a'



{{{f(a)+3 = a^2 - 3+3}}} Add 3 to both sides



{{{f(a)+3 = a^2}}} Combine like terms



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Part B



{{{f(x) = x^2 - 3}}}



{{{f(a+3) = (a+3)^2 - 3}}} Replace every copy of 'x' with 'a+3'



{{{f(a+3) = a^2+6a+9 - 3}}} Expand out {{{(a+3)^2}}}



{{{f(a+3) = a^2+6a+6}}} Combine like terms



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Part C



{{{f(x) = x^2 - 3}}}



{{{f(g+b) = (g+b)^2 - 3}}} Replace every copy of 'x' with 'g+b'



{{{f(g+b) = g^2+2gb+b^2 - 3}}} FOIL out {{{(g+b)^2}}}