Nested Functions - Intermediate Level: tricky scenarios handling Nested Functions INTERMEDIATE

This expert challenge 📈 worksheet focuses on Nested Functions - a key topic in Symbol Notation. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve nested functions, nested functions tricks, and nested functions shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:

Master how to solve nested functions through focused practice
Understand the logic behind nested functions tricks
Learn step-by-step approaches to tricky scenarios handling
Improve your solving speed while maintaining accuracy
Learn to eliminate wrong options efficiently

Your progress through Nested Functions

Worksheet 5 of 10 (44% 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: q(p(5))

Evaluate from innermost outward:
q(p(5))
= 1

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: r(g(p(3)))

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

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: h(p(4))

Evaluate from innermost outward:
h(p(4))
= 1

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: r(h(f(4)))

Evaluate from innermost outward:
r(h(f(4)))
= 335

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(g(f(6)))

Evaluate from innermost outward:
q(g(f(6)))
= 14

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: h(p(5))

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

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(g(3))

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

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(g(6)))

Evaluate from innermost outward:
q(h(g(6)))
= 338

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(4))

Evaluate from innermost outward:
r(g(4))
= 323

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: r(q(g(3)))

Evaluate from innermost outward:
r(q(g(3)))
= 310.50

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: r(p(3))

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

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: h(q(r(6)))

Evaluate from innermost outward:
h(q(r(6)))
= 306.25

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: f(r(h(6)))

Evaluate from innermost outward:
f(r(h(6)))
= 337

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(h(5))

Evaluate from innermost outward:
g(h(5))
= 225

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(r(4))

Evaluate from innermost outward:
q(r(4))
= 16.50

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: h(f(2))

Evaluate from innermost outward:
h(f(2))
= 16

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: r(q(p(2)))

Evaluate from innermost outward:
r(q(p(2)))
= 1.50

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: g(q(r(3)))

Evaluate from innermost outward:
g(q(r(3)))
= 216

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: r(g(p(6)))

Evaluate from innermost outward:
r(g(p(6)))
= 322

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(p(4))

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

📝 Continue your Nested Functions practice. Worksheet 5 focuses on tricky scenarios handling.

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