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.
Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Function Notation
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = 3x + 5 - x²
- Rewrite: (f - g)(x) = -x² + 3x + 5
Answer:
x = 3
Step-by-step explanation:
1. Plug 3 into g(x)
3 = -2x + 9
2. Subtract 9 on both sides
-6 = -2x
3. Divide by -2 on both sides to get x by itself
x = 3
I hope this helped :)
Answer:
-(2y+3)×(3y+5)
Step-by-step explanation:
- 3y(2y + 3) - 5(2y + 3)
Factor out - (2y+3)
-(2y+3)×(3y+5)
The answer should be 6ab given it is the missing part in 2a^3b