Answer:
Step-by-step explanation:
When we have a number to a fraction power, we need to note that
Basically, for example, is the same as
since the numerator is 1 (
) and the denominator is 2 (
).
Applying this same logic to -
Hope this helped!
Here we get the statement:
"sec^-1(0.5) is undefined"
And we want to see if this is true or false, so let's use the properties that we know to find that this is false.
Remember that the sec function is defined as:
Then we will have:
Then is really trivial to see that:
Then we can conclude that the function is not undefined at 0.5, so the statement is false.
Below you can see the graph of the given function, and you will see that it is never undefined.
If you want to learn more, you can read:
