Hey there! I was looking at your question for a bit then realized you meant , the imaginary number, not "1" at the end of each number.
The expression we are given is:
Open parenthesis and combine like terms:
This is answer choice B (assuming it's supposed to be an and not a "1" at the end)
Let me know if you need any clarifications, thanks!
~ Padoru
Given:
The quadratic equation is:
It can be written as .
To find:
The value of p in the rewritten equation.
Solution:
We have,
Isolate the constant term.
We need to make 202 on the right side. So, add 256 on both sides.
Let , then
Therefore, the value of p is .
The given equation can be written as:
Adding 148 on both sides, we get
Let , then
Therefore, the another possible value of p is .
Answer:
g and f are inverse functions because g(f(x)) = f(g(x)) = x
Step-by-step explanation:
Let's start by finding f(g(x)) and g(f(x)). As we discussed in another question, to find a composite function, apply the outer function to whatever the inner function evaluates to. We can start with f(g(x)):
Now, let's find g(f(x)):
There is a property that says that if f(g(x)) = g(f(x)) = x, the two functions are inverse. This suggests that g and f are inverse functions. We can verify this by taking one function, switching y and x, and then solving for y. If we complete this process and find that we get the OTHER function, it means the two functions are inverse. Let's try that:
Swap x and y:
Solve for y:
Notice that we got g, which means f and g are inverse.