A triangle can have at most ____ right angle(s). No 1 2 4
2 answers:
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<h2>Steps</h2>
- Standard Form Equation: f(x) = ax² + bx + c
So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):
Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):
Next, plug (2,15) into the standard form equation and simplify:
Now, with our last two simplified equations we will create a system of equations:
Now, I will be using the elimination method with this system. With the system, add up the equations together and you will get:
From here, we can solve for the a variable. With it, just divide both sides by 3:
Now that we know the value of a, plug it into either equation to solve for the b variable:
Putting all of our obtained values together, your final answer is:
Answer:
Inverse function is:
Step-by-step explanation:
Given Given the function
we have to find the inverse function of g
To find inverse following steps are:
Step 1: Replace g(x) with y
Step 2: Replace every x with a y and every y with x
Step 3: Solve the equation obtained from Step 2 for y.
Step 4: Replace y with g−1(x).
To find the inverse, let
Now, solve for x
Replace every x with a y and every y with x , we get
Replace y with g−1(x).
So inverse function is: