Answer:
To find the inverse of:
Set the function to y:
Rearrange to make x the subject:
Swap x and y:
Change y to the inverse of the function sign:
Rewrite g(x) as a fraction:
Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other
Answer:
The top graph
Solutions:
-2
0
Step-by-step explanation:
The given quadratic function in factored form is
This is a parabola that has x-intercepts at (-2,0) and (2,0)
This parabola opens downward because the leading coefficient is less than 1.
The second function is
This is an absolute value function with vertex at (-2,0).
Therefore the graph that shows the solution to f(x)=g(x) is the top graph.
Hence the solution is x=-2,x=0
