The composite function is
Given that and
.
We need to calculate which is a composite function.
If two functions are given and we create another function by using the given functions, then the new function is called composite function.
So to calculate the composite function, put the value of in the function
.
Hence the composite function is .
For more details, follow the link given below.
Given:
The graph of a function.
To find:
The domain and range of the given graph.
Solution:
Domain is the set of x-values or input values.
From the given graph it is clear that, the graph is defined for the interval (-4,4).
But there is a closed circle at x = -4 and an open circle at x = 4. It means, -4 is included and 4 is not included in the solution set.
Domain: [-4,4)
Domain:
Range is the set of y-values or output values.
From the given graph it is clear that, the output values are lie in the interval (-3,4).
But there closed circle at x = -3 and x = 4. It means, -3 and 4 are is included in the set of output values.
Range: [-3,4]
Range:
Therefore, domain is and range is
.
