For a given exponential function find F(1).𝑓(𝑥)=4(13)𝑥+2Group of answer choices43+27310313+2

1. Break Down the Problem

We need to find the value of the exponential function $f(x) = 4(13)^{x+2}$ at $x = 1$.

2. Relevant Concepts

To find $f(1)$, we will substitute $x = 1$ into the function:

$f(1) = 4(13)^{1+2}$

3. Analysis and Detail

Now we will perform the calculation step-by-step:

1. Calculate $1 + 2$: $1 + 2 = 3$

2. Substitute back into the function: $f(1) = 4(13)^{3}$

3. We need to calculate $(13)^3$: $(13)^3 = 13 \times 13 \times 13 = 169 \times 13 = 2197$

4. Now multiply by 4: $f(1) = 4 \times 2197 = 8788$

4. Verify and Summarize

The calculations are verified step by step and consistent. Therefore, the final result for $f(1)$ is:

Final Answer

$f(1) = 8788$