Nested Functions - Absolute-Beginner Level: core concept mastery Nested Functions ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Nested Functions - a key topic in Symbol Notation. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master nested functions problems, nested functions reasoning questions, and nested functions practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:

Master nested functions problems through focused practice
Understand the logic behind nested functions reasoning questions
Learn step-by-step approaches to core concept mastery
Start with the absolute basics - no prior knowledge needed
Learn fundamental concepts with simple examples

Your progress through Nested Functions

Worksheet 1 of 10 (0% complete)

Question 1

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: h(f(g(5)))

Evaluate from innermost outward:
h(f(g(5)))
= 729

Question 2

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: h(r(2))

Evaluate from innermost outward:
h(r(2))
= 961

Question 3

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: q(h(4))

Evaluate from innermost outward:
q(h(4))
= 8

Question 4

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: f(h(p(3)))

Evaluate from innermost outward:
f(h(p(3)))
= 2

Question 5

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: g(f(h(6)))

Evaluate from innermost outward:
g(f(h(6)))
= 238

Question 6

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: p(q(g(2)))

Evaluate from innermost outward:
p(q(g(2)))
= 8

Question 7

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: r(h(2))

Evaluate from innermost outward:
r(h(2))
= 33

Question 8

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: q(h(5))

Evaluate from innermost outward:
q(h(5))
= 12.50

Question 9

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: r(g(3))

Evaluate from innermost outward:
r(g(3))
= 322

Question 10

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: q(r(6))

Evaluate from innermost outward:
q(r(6))
= 17.50

Question 11

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: f(p(h(2)))

Evaluate from innermost outward:
f(p(h(2)))
= 3

Question 12

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: r(p(2))

Evaluate from innermost outward:
r(p(2))
= 1

Question 13

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: h(p(g(2)))

Evaluate from innermost outward:
h(p(g(2)))
= 361

Question 14

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: q(g(p(5)))

Evaluate from innermost outward:
q(g(p(5)))
= 11

Question 15

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: q(p(3))

Evaluate from innermost outward:
q(p(3))
= 0

Question 16

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: f(h(q(5)))

Evaluate from innermost outward:
f(h(q(5)))
= 8.25

Question 17

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: h(g(6))

Evaluate from innermost outward:
h(g(6))
= 676

Question 18

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: f(p(4))

Evaluate from innermost outward:
f(p(4))
= 3

Question 19

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: h(r(q(4)))

Evaluate from innermost outward:
h(r(q(4)))
= 961

Question 20

If f(x)=x+2, g(x)=2x, h(x)=x², p(x)=x-3, q(x)=x/2, r(x)=3x-1, then evaluate: h(f(4))

Evaluate from innermost outward:
h(f(4))
= 36

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