(i) The product of the two expressions is equal to the product of their factors. (ii) The product of the two expressions is equal to the product of their H.C.F. and L.C.M. 2.
Answer:
Answer: 5/9 as a decimal is 0.556.
Answer:
Domain [-5,∞)
Range [0,∞)
Step-by-step explanation:
Part 1) Find the domain
we have

we know that
The radicand must be greater than or equal to zero
so

solve for x
subtract 5 both sides

The solution for x is the interval [-5,∞)
All real numbers greater than or equal to -5
Remember that
The domain of a function is the set of all possible values of x
therefore
The domain of the function f(x) is the interval [-5,∞)
Part 2) Find the range
we have

Find the value of f(x) for the minimum value of x
For x=-5


The minimum value of f(x) is equal to zero
so
The solution for f(x) is the interval [0,∞)
All real numbers greater than or equal to 0
Remember that
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
therefore
The range of the function is the interval [0,∞)
Answer:
-1
Step-by-step explanation:
(f⚬h)(4) = f(h(4)) = f(-4+4) = f(0)
f(0) = 0-1 = -1
(f⚬h)(4) = -1