Use the function rule f(x) = 6(9)^x to find f(1).
Check the final answer first, then review the worked steps.
Problem
Use the function rule f(x) = 6(9)^x to find f(1).
Answer
54
Step-by-step solution
1. Understand the problem: We are given a function rule $f(x) = 6(9)^x$ and asked to find the value of the function when $x=1$. This means we need to calculate $f(1)$.
2. Substitute the value of x: To find $f(1)$, we need to replace every instance of $x$ in the function rule with the number 1.
$$f(1) = 6(9)^{1}$$
3. Evaluate the exponent: Any number raised to the power of 1 is itself. So, $9^1 = 9$.
$$f(1) = 6(9)$$
4. Perform the multiplication: Now, multiply 6 by 9.
$$f(1) = 54$$