The graph of the function $f$ is shown below. How many solutions does the equation $f(f(x)) = 6$ have?
The graph of the function $f$ is shown below. How many solutions does the equation $f(f(x)) = 6$ have?
Let's see...
f(1)=6 and f (-2)=6
so when is f(x)=1 or f(x))=-2
f(x)=1 4 times [ because the line graph crosses the line y=1 four times. ]
f(x)=-2 2 times
So there are 6 answers to f(f(x)=6
The graph of the function $f$ is shown below. How many solutions does the equation $f(f(x)) = 6$ have?
Let's see...
f(1)=6 and f (-2)=6
so when is f(x)=1 or f(x))=-2
f(x)=1 4 times [ because the line graph crosses the line y=1 four times. ]
f(x)=-2 2 times
So there are 6 answers to f(f(x)=6