Question

Suppose f(x)= 2+4x^2.Simplify as much as possible: f(1)/f(2)= ______

Answer 1

Given,

The expression is,

$f(x)=4x^2+2$

Taking x =1,

Subsituting the value of x in the given function then,

$\begin{gathered} f(1)=4(1)^2+2 \\ =4\times1+2 \\ =4+2 \\ =6 \end{gathered}$

Taking x =2,

Subsituting the value of x in the given function then,

$\begin{gathered} f(2)=4(2)^2+2 \\ =4\times4+2 \\ =16+2 \\ =18 \end{gathered}$

Divide f(1) by f(2) then,

$\frac{f(1)}{f(2)}=\frac{6}{18}=\frac{1}{3}$

Hence, the simplified value is 1/3.