Question

If f(x) =x²+2x-7/x+1
then find the value of f(3).​

Answer 1

_____________________

Given:

• $\large{\sf{f(x)\:=\: \dfrac{x²+2x-7}{x+1}}}$

To finD:

• f(3)

Solution :

$\large{\sf{f(x)\:=\: \dfrac{x²+2x-7}{x+1}}}$

→ $\large{\sf{f(3) \:=\: \dfrac{3²+2×3-7}{3+1}}}$

→ $\large{\sf{f(3) \:=\: \dfrac{9+6-7}{4}}}$

→ $\large{\sf{f(3)\:=\: \dfrac{15-7}{4}}}$

→ $\large{\sf{f(3) \:=\: \dfrac{8}{4}}}$

→ $\large{\sf{f(3)\:=\: {\cancel{\dfrac{8}{4}}}}}$

→ $\large{\sf{f(3)\:=\: 2}}$

Therefore,

$\huge{\boxed{\large{\pink{\mathfrak{f(3) \:=\:2 }}}}}$

____________________