Question

Question 41.Graph each function in its inverse on the same set of axis? Label two points on each graph?

Answer 1

#41

The given function is

`f(x)=6^x`

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

`\begin{gathered} x=1 \\ f(2)=6^1 \\ f(2)=6 \end{gathered}`

The first point is (1, 6)

Let x = 0

`\begin{gathered} x=0 \\ f(0)=6^0 \\ f(0)=1 \end{gathered}`

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