Question

Question 4(Multiple Choice Worth 2 points) (04.03 LC) Which of the following options is an equivalent function to f(x) = 4(3)2x? f(x) = 36x f(x) = 4(9)x f(x) = 144x f(x) = 4(6x)

Answer 1

f(x) = 4(9)x

Explanation:

From the question given, we recall the values:

(x) = 4(3)2x =36x f(x) = 4(9)x f(x) = 144x f(x) = 4(6x)

Let us simply the question

Now,

f(x) = 36xf(x) = 4(9)x f(x) = 144x f(x) = 4 (6x)

we simplify the function we now have (3)²,

If we simplify further we arrive at this, 3 x 3 which is 9.

Therefore,

f(x) = 4(9)x

So the answer is f(x) = 4(9)x

Answer 2

We are given the function:

f(x) = 4(3)²x

Now let us simplify this to get to the correct option.

Here we are given the options:

f(x) = 36x f(x) = 4(9)x f(x) = 144x f(x) = 4(6x)

Now if we simplify our function we have (3)²,

If we simplify it we will get 3*3 which is 9.

So rewriting our function:

f(x) = 4(9)x

So answer is second option f(x) = 4(9)x.