Question 10

From Math Applications HL Paper 1 (May 2025, TZ2)

  1. [Maximum mark: 5]

Consider the following function, f(x)f(x), defined on the domain of integers from 0 to 4 inclusive.

Table showing the values of x and corresponding f(x) for the function defined in Question 10.
Table showing the values of x and corresponding f(x) for the function defined in Question 10.

(a) Solve f(x)=4f(x) = 4. [1]

(b) Solve f(x)=xf(x) = x. [1]

(c) Complete the following table.

Table to be completed with values of f^-1(x) for given x values, as part of Question 10(c).
Table to be completed with values of f^-1(x) for given x values, as part of Question 10(c).

[3]