Hard · Function Notation and Composition

Hard Function Notation and Composition Questions

This page lists the 7 hard-difficulty questions on Function Notation and Composition, one row per record in the site's question bank (data/questions.json), with each question's score band.

By score band: 600-700 1 of 7, 700-800 6 of 7. The Function Notation and Composition topic page carries all 25 questions on this topic; the other difficulty hubs are easy, medium and hard.

Question	Band
If f(x) = 2x + (5) and g(x) = 2x + (1), what is the value of f(g(3))?	600-700	Open
If f(x) = 2x + (7) and g(x) = 1x - 4), what is the value of f(g(3))?	700-800	Open
If f(x) = 3x + (4) and g(x) = 4x + (1), what is the value of f(g(-4))?	700-800	Open
If f(x) = 4x - 2) and g(x) = 1x - 5), what is the value of f(g(-3))?	700-800	Open
If f(x) = 5x + (6) and g(x) = 4x - 1), what is the value of f(g(4))?	700-800	Open
If f(x) = 2x + (3) and g(x) = 3x + (2), what is the value of f(g(-4))?	700-800	Open
If f(x) = 5x + (7) and g(x) = 2x + (3), what is the value of f(g(-2))?	700-800	Open