What is the continuity of the composite function #f(g(x))# given #f(x)=1/sqrtx# and #g(x)=x-1#?
1 Answer
Feb 24, 2017
The domain is
Explanation:
The process here is to verify first the domain of
This is a linear function, so is defined on all values of
There will be two types of restriction on the domain in this problem.
•When the number underneath the
#√# is less than#0# .
•When the denominator equals#0# .
The number under the square root will be negative whenever
In other words, the composition is continuous for all values of
Hopefully this helps!