Question

Rewrite the function f of x equals 4 times one third to the 2 times x power using properties of exponents. f of x equals 4 times one ninth to the x power f of x equals 4 times two sixths to the x power f of x equals 16 times one third to the x power f of x equals 16 times one ninth to the x power

Answer 1

A

Explanation:

Answer 2

Option 1

Explanation:

Given : Function f of x equals 4 times one third to the 2 times x power.

To find : Rewrite the function using properties of exponents ?

Solution :

Writing the function in numeric terms,

f of x equals 4 times one third to the 2 times x power

i.e.
`f(x)=4* ((1)/(3))^(2x)`

Solve the expression,

`f(x)=4* ((1)/(3)^2)^(x)`

`f(x)=4* ((1)/(9))^(x)`

i.e. f of x equals 4 times one ninth to the x power.

Therefore, Option 1 is correct.