Answer:
The graph both functions in the attached figure
Step-by-step explanation:
we have
\(f(x)=-3x+3\)
Find the inverse of f(x)
Let
\(y=f(x)\)
\(y=-3x+3\)
Exchange the variables x for y and y for x
\(x=-3y+3\)
Isolate the variable y
\(3y=-x+3\)
\(y=-\frac{1}{3}x+1\)
Let
\(f^{-1}(x)=y\)
\(f^{-1}(x)=-\frac{1}{3}x+1\) -----> inverse function
To graph the functions find the intercepts
The y-intercept is the value of y when the value of x is equal to zero
The x-intercept is the value of x when the value of y is equal to zero
For \(f(x)=-3x+3\)
The y-intercept is the point \((0,3)\)
The x-intercept is the point \((1,0)\)
For \(f^{-1}(x)=-\frac{1}{3}x+1\)
The y-intercept is the point \((0,1)\)
The x-intercept is the point \((3,0)\)
plot the intercepts both functions to graph the linear equations
see the attached figure
