The graph of the function $f$ is shown below. How many solutions does the equation $f(f(x)) = 6$ have?

Guest Mar 28, 2018

#1**+2 **

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

Melody
Mar 28, 2018

#1**+2 **

Best Answer

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

Melody
Mar 28, 2018