The topic is about operations on functions: composition and transformation
1 answer:
You might be interested in
Answer:
This system has no solution:
y = x²
y = 0 · x - 1
Step-by-step explanation:
Hi there!
I propose these two equations:
y = x²
y = 0 · x - 1
This system has no solution because in the quadratic function "y" is always positive for every value of "x", while in the linear function "y" is always -1 for every value of "x". Then, there will not be a pair (x,y) shared by both functions.
In other words, there is no value of "x" that satisfies this expression:
x² = 0 · x - 1
In the attached graphic, you can see that both curves never touch (in red is the quadratic function and in blue is the linear function), hence, the system has no solution.
Have a nice day!
