Question

Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independent variable. F of q = one-half q minus three-halvesf(q) = 2s + 3f of s = one-half s minus three-halvesf(q) = 2q + 3.

Answer 1

A

Step-by-step explanation:

edge 23

Answer 2

f(q) = (1/2)q - (3/2)

Step-by-step explanation:

To write the equation in function notation, where q is the independent variable, we need to solve the given equation for q:

6q = 3s - 9

Divide both sides by 6:

q = (1/2)s - (3/2)

Now we can write the equation in function notation, where f(q) represents the output of the function for a given input value of q:

f(q) = (1/2)q - (3/2)

So, f(q) is equal to one-half of the input value q minus three-halves. This means that if we substitute a value of q into the function, we will get the corresponding output value.

Note that the function f(s) = (1/2)s - (3/2) is not the same as the function represented by the original equation 6q = 3s - 9, because in the original equation q is the independent variable and s is the dependent variable. The equation f(q) = (1/2)q - (3/2) is the function that describes the relationship between q and s in the original equation.