Find the domain of the given function
f(x) = log(2-x)
also I don't know how to do this one
h(x) = log(-x)
you know that the domain of log(n) is n>0
So, the domain of log(2-x) is
2-x > 0
x < 2
similarly for the even easier 2nd one.
To find the domain of a function, we need to determine the values of x for which the function is defined. In this case, we have the function f(x) = log(2-x).
The domain of the logarithmic function is restricted to positive real numbers. This means that the argument of the logarithm, 2-x, must be greater than zero.
To solve the inequality 2-x > 0, we can isolate x by subtracting 2 from both sides:
(2-x) - 2 > 0 - 2
-x > -2
Since we multiplied by -1, we need to reverse the inequality sign:
x < 2
Therefore, the domain of the function f(x) = log(2-x) is all real numbers less than 2.