Question

Let f(x) = x^2 + 3, evaluate the following. a. f(a)-2=b. f(a-2)=c. f(b+d)=

Answer 1

Given

$f(x)=x^2+3$

$\begin{gathered} f(x)=x^2+3 \\ f(a)=a^2+3 \\ f(a)-2=a^2+3-2 \\ \Rightarrow a^2+1 \end{gathered}$

$\begin{gathered} f(x)=x^2+3 \\ f(a-2)=(a-2)^2+3 \\ \Rightarrow a^2-4a+4+3 \\ \Rightarrow a^2-4a+7 \end{gathered}$

$\begin{gathered} f(x)=x^2+3 \\ f(b+d)=(b+d)^2+3 \\ \Rightarrow b^2+2bd+d^2+3 \end{gathered}$