Find the domain of the logarithmic f(x) =ln(7-x)
To find the domain of the logarithmic function f(x) = ln(7-x), we need to consider the restrictions on the input values of x that make the function defined.
The natural logarithm function ln(x) is defined only for positive real numbers, so the expression ln(7-x) is only defined when the argument (7-x) is greater than zero.
Therefore, we need to find the values of x that make the argument (7-x) positive:
7 - x > 0
-x > -7
x < 7
So, the domain of the function f(x) = ln(7-x) is all real numbers less than 7. In interval notation, the domain can be expressed as (-∞, 7).