Question

This is not a test , please help me !

Answer 1

Step 1: Write out the function

`f(x)=3^x`

Step 2: Evaluate the functions at x=1,3,4 and 6

`\begin{gathered} f(1)=3^1 \\ f(3)=3^3 \\ f(4)=3^4 \\ f(6)=3^6 \end{gathered}`

Step 3: Compute f(6)/f(4)

`(f(6))/(f(4))=(3^6)/(3^4)=3^(6-4)=3^2`

Step 4: Compute f(3)/f(1)

`(f(3))/(f(1))=(3^3)/(3^1)=3^(3-1)=3^2`

Step 5: Compare f(6)/f(4) and f(3)/f(1)

`(f(6))/(f(4))=3^2`
`(f(3))/(f(1))=3^2`

Therefore,

`(f(6))/(f(4))=^{}(f(6))/(f(4))`