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