Question

Q: Use the following function rule
to find f(o).
f(x) = 5(10) *
f(0) =

Answer 1

Answer: The function rule is f(x) = 5(10)^x. Using this rule, we can find f(0) by substituting x with 0: f(0) = 5(10)^0 = 5 * 1 = 5. So f(0) = 5.

Here are the steps to find f(0) using the function rule f(x) = 5(10)^x:

1. Substitute x with 0 in the function rule: f(0) = 5(10)^0

2. Any non-zero number raised to the power of 0 is equal to 1: f(0) = 5 * 1

3. Multiply 5 by 1: f(0) = 5

4. So f(0) = 5.

Answer 2

f(0) = 5

Explanation:

The given function is:

`f(x)=5(10)^x`

To find f(0), substitute x = 0 into the given function:

`f(0)=5(10)^0`

According to the zero exponent property, any non-zero number raised to the power of zero is equal to 1. Therefore, 10⁰ = 1:

`f(0)=5 \cdot 1`

According to the multiplicative identity property, when any number is multiplied by 1, the result is equal to the original number. Therefore:

`f(0)=5`