A multiplication is zero if and only if at least one of the factors is zero. So, in this case, the multipications equals zero when
The first equation has no real solutions, because is a square, and thus it's positive. If you add 4 to a positive number, the result can't be zero.
The second equation has the solution
So, globally, the expression equals zero if and only if
Answer:
(2,2)
Step-by-step explanation:
step 1
Find the equation of f(x)
is a line that passes through the points (0,6) and (3,0)
Find the slope
The function f(x) in slope intercept form is equal to
step 2
Find the inverse
Let y=f(x)
Exchange the variables x for y and y for x
Isolate the variable y
Let
step 3
Solve the system of equations
equate both functions
solve for x
substitute the value of x in any of the functions
The solution is the point (2,2)
therefore
Their point of intersection is (2,2)