Nested Functions: Worksheet 10 - Expert Practice Nested Functions EXPERT

Ready to master Nested Functions? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve nested functions reasoning tricks, handle fast nested functions solving, and perfect nested functions mastery with our step-by-step solutions.

📝 Worksheet 10 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:

Understand the logic behind fast nested functions solving
Learn step-by-step approaches to application-based learning
Achieve mastery with the most difficult problem types
Perfect your speed and accuracy under time pressure
Master nested functions reasoning tricks through focused practice

Your progress through Nested Functions

Worksheet 10 of 10 (100% 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(p(3))

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

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: f(p(r(5)))

Evaluate from innermost outward:
f(p(r(5)))
= 33

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(5))

Evaluate from innermost outward:
p(f(5))
= 4

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: p(r(q(3)))

Evaluate from innermost outward:
p(r(q(3)))
= 27.50

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(p(r(5)))

Evaluate from innermost outward:
q(p(r(5)))
= 15.50

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: p(r(f(6)))

Evaluate from innermost outward:
p(r(f(6)))
= 34

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(6))

Evaluate from innermost outward:
h(q(6))
= 9

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: p(r(q(2)))

Evaluate from innermost outward:
p(r(q(2)))
= 27

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: h(r(q(5)))

Evaluate from innermost outward:
h(r(q(5)))
= 992.25

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: h(g(4))

Evaluate from innermost outward:
h(g(4))
= 576

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: h(r(4))

Evaluate from innermost outward:
h(r(4))
= 1089

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: f(g(q(2)))

Evaluate from innermost outward:
f(g(q(2)))
= 23

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(f(4))

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

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: g(q(6))

Evaluate from innermost outward:
g(q(6))
= 23

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: f(p(5))

Evaluate from innermost outward:
f(p(5))
= 4

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(2))

Evaluate from innermost outward:
f(h(2))
= 6

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(q(f(4)))

Evaluate from innermost outward:
h(q(f(4)))
= 9

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: r(g(p(3)))

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

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: f(g(4))

Evaluate from innermost outward:
f(g(4))
= 26

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: g(q(3))

Evaluate from innermost outward:
g(q(3))
= 21.50

🏆 Congratulations! You've mastered Nested Functions - all 10 worksheets completed!

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