Answer:
B. (x+4)(x+i)(x-i)
Step-by-step explanation:
Let 
We can factor this polynomial by grouping:

We factor further to obtain:


We apply difference of two squares to get:

We have the following function:

So if we graph this function we will get the Figure below. Thus, let's study both the equation and the graph to get some conclusions. Therefore, we can assure these statements:
First. The function is defined only for

as shown in the Figure. This is also true because of

where

must be greater (or equal) than zero.
Second. The range of the function are the values of

.
Third. If

creases then

always creases, too.
Sin51=y/12
y=12sin51 units
y≈9.33 units (to nearest hundredth of a unit)
...
tanα=12/5
α=arctan2.4°
α≈67.38° (to nearest hundredth of a degree)
...
tan13=x/24
x=24tan13 units
x≈5.54 units (to nearest hundredth of a unit)
...
sin20=10/x
x=10/sin20 units
x≈29.24 units (to nearest hundredth of a unit)
Answer:
C)h(x) = x-3
Step-by-step explanation:
To find the inverse of a function, switch the "x" and "y" values, then isolate for "x".
f(x) is the y value.
y = x + 3
x = y + 3 Switch x and y
x - 3 = y Subtract 3 from both sides to isolate
y = x - 3 Change back to function of h
h(x) = x - 3
Answer:
27
Step-by-step explanation:
Out of those numbers and assuming the equation is f(x) = 6x^2=3
f(-2)= 6(-2)^2+3