Question

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

Answer 1

Given : function represented by the equation 6q = 3s - 9

q is the independent variable.

To Find : Write the equation in function notation

A) f of q = one-half q minus three-halves

B) f(q) = 2s + 3

C) f of s = one-half s minus three-halves

D) f(q) = 2q + 3

Solution:

6q = 3s - 9

q is the independent variable

Hence s is dependent on q

=> s = f(q)

6q = 3s - 9

Divide both sides by 3

=> 2q = s - 3

Add 3 on both sides

=> 2q + 3 = s

=> s = 2q + 3

=> f(q) = 2q + 3

option D is correct

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Answer 2

Answer: D: f(q) = 2q+3