Question

(f/g)(x) where f(x) = 3.6⁽ˣ²⁾ divided by g(x) = 3.6⁽³ˣ⁻¹⁾

Answer 1

To calculate (f/g)(x), substitute the values of f(x) and g(x) and divide f(x) by g(x) using the properties of exponents.

Step-by-step explanation:

To calculate (f/g)(x), we first need to determine the values of f(x) and g(x). Given f(x) = 3.6^(x^2) and g(x) = 3.6^(3x-1), we substitute these values to get:

f(x) = 3.6^(x^2) = 3.6^(x * x)

g(x) = 3.6^(3x-1)

Now, (f/g)(x) can be calculated by dividing f(x) by g(x):

(f/g)(x) = f(x) / g(x) = (3.6^(x^2))/(3.6^(3x-1))

To simplify this expression, we can use the property that dividing numbers with the same base is equivalent to subtracting their exponents:

(f/g)(x) = 3.6^((x^2)-(3x-1))