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*1+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*4+2 \\ =16+2 \\ =18 \end{gathered}`

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

`(f(1))/(f(2))=(6)/(18)=(1)/(3)`

Hence, the simplified value is 1/3.