#41
The given function is
[tex]f(x)=6^x[/tex]
To graph it we have to find two points lie on its graph
Let x = 1, then substitute it in the function to find y
[tex]\begin{gathered} x=1 \\ f(2)=6^1 \\ f(2)=6 \end{gathered}[/tex]
The first point is (1, 6)
Let x = 0
[tex]\begin{gathered} x=0 \\ f(0)=6^0 \\ f(0)=1 \end{gathered}[/tex]
The second point is (0, 1)
Since we switch the x and y to find the inverse function, then we can find the two points on the inverse function by switching x and y of the two points
The first point on the inverse (6, 1)
The second point on the inverse is (1, 0)
Let us draw the graph
The read curve represents the f(x) = 6^x
The blue graph represents the inverse function of f(x)
The green line is the line of symmetry of them
