Inverse functions from tables and graphs

Answer Key - Grade 11 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Kira's worksheet shows the graph of f and the rule g(x) = 2x − 3. What is g(f⁻¹(-4))?

   -9
2. 2.

   Milo works in pencil with the graph of f and g(x) = -x² + 4. What is g(f⁻¹(6))?

   -21
3. 3.

   On a puzzle card, Noah sees the graph of f and g(x) = -3x + 2. What is g(f⁻¹(5))?

   8
4. 4.

   Pia's worksheet shows the graph of f, a segment from (-2, 1) to (4, 13). What is the domain of f⁻¹?

   • All real numbers
   • -2 ≤ x ≤ 4
   • 1 ≤ x ≤ 13
5. 5.

   In a notebook, Ren draws f as the segment from (-1, 9) to (5, -3). What is the range of f⁻¹?

   • -1 ≤ y ≤ 5
   • All real numbers
   • -3 ≤ y ≤ 9
6. 6.

   Tala draws the segment from (0, -4) to (6, 8) in pencil as the graph of f. What is the range of f⁻¹?

   • -4 ≤ y ≤ 8
   • All real numbers
   • 0 ≤ y ≤ 6
7. 7.

   On a puzzle card, f is the segment from (-5, 6) to (3, 2). Zee needs the domain of f⁻¹. What is it?

   • -5 ≤ x ≤ 3
   • All real numbers
   • 2 ≤ x ≤ 6
8. 8.

   In a notebook, Bo has f(x) = 5 − 2x. What is f⁻¹(8)?

   -3/2
9. 9.

   Esme works in pencil with f(x) = (x − 1)/5. What is f⁻¹(-2)?

   -9
10. 10.

    On a puzzle card, f(x) = 7 − 3x. Jun needs f⁻¹(-4). What is it?

    11/3