Answer: Domain = 
.
Range = [-3,3] .
Step-by-step explanation:
The given function : 
Parent function to this function, 
which is a trigonometric function.
The property of this function is :
- x can take any value , so Domain of this function is .
- Also,
, so Range of this function is ![[-1,1]](https://tex.z-dn.net/?f=%5B-1%2C1%5D)
.
Now , for the given function,
Domain would be same as g(x),i.e. Domain of f(x) is .
Also, 
So , Range of f(x) is [-3,3]
Hence, the domain and range for the function is
Domain = .
Range = [-3,3] .
Answer:
2700 - 2000 = 700 - 100 = 600 - 200 = 400 - 100 = 300
300 dollars
Answer:
Step-by-step explanation:
The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x), you can solve for the remainder.
f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)
f(5) = x^3 - 4x + k now put 5 into x on the right
f(5) = 5^3 - 4(5) + k
f(5) = 125 - 20 + k = 91
f(5) = 105 + k = 91
105 + k = 91 Subtract 105 from both sides
k = 91 - 105
k = -14
