SOLUTION: Find the domain of the function f(x) = ln(12x - 48).
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Question 114126: Find the domain of the function f(x) = ln(12x - 48).
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
You cannot take the logarithm of a negative number or of zero.
.
Therefore in the function f(x) = ln(12x - 48), the quantity in the parentheses must be
greater than zero.
.
Therefore you can write the inequality:
.
.
To solve for x, begin by adding 48 to both sides to get rid of the -48 on the left side. When
you do that addition you get:
.
.
Next divide both sides by 12, the multiplier of x to get:
.
.
which simplifies to:
.
.
So the domain of x is that x can take any value greater than +4.
.
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