/find the range of the fuction f(x^2)+4 for the domin {4 ,-2,0,4}
To find the range of the function f(x^2) + 4 for the given domain {4, -2, 0, 4}, we need to calculate the corresponding function values for each element in the domain.
Let's substitute the domain values into the function:
For x = 4:
f(4^2) + 4 = f(16) + 4
For x = -2:
f((-2)^2) + 4 = f(4) + 4
For x = 0:
f((0)^2) + 4 = f(0) + 4
For x = 4:
f(4^2) + 4 = f(16) + 4
Now, we need to evaluate these expressions by substituting the given domain values:
For x = 4:
f(16) + 4
For x = -2:
f(4) + 4
For x = 0:
f(0) + 4
For x = 4:
f(16) + 4
The range of the function will be the set of all possible function values.
Since we don't have the specific values of f(x), we can't determine the exact range. To find the range of the function, we need to know the specific function or have more information about its behavior.