Nested Functions Beginner-Intermediate Worksheet: Focus on common variations practice Nested Functions BEGINNER INTERMEDIATE

Level up your Nested Functions skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: nested functions for competitive exams, how to solve nested functions, nested functions tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:

Understand the logic behind how to solve nested functions
Learn step-by-step approaches to common variations practice
Bridge the gap between basic and advanced concepts
Handle problems with increasing complexity
Master nested functions for competitive exams through focused practice

Your progress through Nested Functions

Worksheet 4 of 10 (33% 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: f(g(2))

Evaluate from innermost outward:
f(g(2))
= 24

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: g(p(2))

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

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: p(f(q(5)))

Evaluate from innermost outward:
p(f(q(5)))
= 1.50

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: q(f(6))

Evaluate from innermost outward:
q(f(6))
= 4

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: q(r(h(6)))

Evaluate from innermost outward:
q(r(h(6)))
= 167.50

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: g(p(4))

Evaluate from innermost outward:
g(p(4))
= 21

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: h(q(r(2)))

Evaluate from innermost outward:
h(q(r(2)))
= 240.25

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: f(q(r(5)))

Evaluate from innermost outward:
f(q(r(5)))
= 19

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: p(f(4))

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

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(g(2))

Evaluate from innermost outward:
q(g(2))
= 11

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: r(h(f(3)))

Evaluate from innermost outward:
r(h(f(3)))
= 324

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: g(f(2))

Evaluate from innermost outward:
g(f(2))
= 24

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: r(h(p(3)))

Evaluate from innermost outward:
r(h(p(3)))
= 29

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: r(p(g(3)))

Evaluate from innermost outward:
r(p(g(3)))
= 319

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: r(h(q(2)))

Evaluate from innermost outward:
r(h(q(2)))
= 30

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: p(q(r(3)))

Evaluate from innermost outward:
p(q(r(3)))
= 13

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: g(p(2))

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

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(h(4))

Evaluate from innermost outward:
f(h(4))
= 18

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(g(f(4)))

Evaluate from innermost outward:
h(g(f(4)))
= 676

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: f(r(q(3)))

Evaluate from innermost outward:
f(r(q(3)))
= 32.50

📝 Continue your Nested Functions practice. Worksheet 4 focuses on common variations practice.

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