Question

A scientist is studying a bacterial colony that doubles in size every hour. The function f(x)=2^x models the number of cells, f(x) , after a given number of hours, x. The inverse function, f^-1 , models the number of hours, f^-1 (x) , required for the colony to reach x cells.

Use the graph of function f to identify f^-1 (x) for each x-value in the table. Then plot the points on the coordinate plane to graph the inverse of function f. Recall that for the inverse of a function, the values of the inputs and outputs are reversed.

1
2
4
8
16

Answer 1

(1,0), (2,1), (4,2), (8,3), (16,4)

Explanation:

For every point (a,b) that lies on the graph of function f, the point (b,a) must lie on the graph of its inverse. The points (1,0), (2,1), (4,2), (8,3), (16,4) and lie on the graph of function f. The points shown in the table lie on the graph of the inverse function,f^-1

Plato's Explanation.

Hope this helps!