Question

Let f(x)=10⋅32x−2. Evaluate f(0) without using a calculator. Do not include f(0) in your answer.

A) 1
B) 10
C) 30
D) 100

Answer 1

To evaluate f(0) without using a calculator, substitute x = 0 into the given function f(x) = 10 * 3^(2x-2) and simplify.

Step-by-step explanation:

To evaluate f(0) without using a calculator, we substitute x = 0 into the given function f(x) = 10 * 3^(2x-2). This gives us:

f(0) = 10 * 3^(2(0)-2) = 10 * 3^(-2)

We know that any number raised to the power of -2 is equal to 1 divided by that number squared. Therefore, 3^(-2) = 1 / 3^2 = 1 / 9. Substituting this back into the equation, we get:

f(0) = 10 * (1 / 9) = 10/9