Nested Functions - Expert Level: conceptual clarity Nested Functions EXPERT

This skill evaluation ⚡ worksheet focuses on Nested Functions - a key topic in Symbol Notation. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master nested functions ssc cgl, nested functions reasoning tricks, and fast nested functions solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Nested Functions
Worksheet 9 of 10 (88% 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(r(g(5)))
Evaluate from innermost outward:
f(r(g(5)))
= 326

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: q(g(h(4)))
Evaluate from innermost outward:
q(g(h(4)))
= 108

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(r(p(4)))
Evaluate from innermost outward:
q(r(p(4)))
= 15

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: h(g(r(6)))
Evaluate from innermost outward:
h(g(r(6)))
= 55225

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(2)))
Evaluate from innermost outward:
g(f(h(2)))
= 26

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(h(5))
Evaluate from innermost outward:
p(h(5))
= 22

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: q(g(4))
Evaluate from innermost outward:
q(g(4))
= 12

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(g(r(3)))
Evaluate from innermost outward:
p(g(r(3)))
= 229

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(q(h(6)))
Evaluate from innermost outward:
r(q(h(6)))
= 317

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: p(h(6))
Evaluate from innermost outward:
p(h(6))
= 33

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

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(h(p(2)))
Evaluate from innermost outward:
f(h(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: p(g(f(6)))
Evaluate from innermost outward:
p(g(f(6)))
= 25

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(r(q(3)))
Evaluate from innermost outward:
g(r(q(3)))
= 230.50

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(g(r(2)))
Evaluate from innermost outward:
q(g(r(2)))
= 115.50

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

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(4))
Evaluate from innermost outward:
r(q(4))
= 31

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(h(g(4)))
Evaluate from innermost outward:
r(h(g(4)))
= 3575

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: p(h(6))
Evaluate from innermost outward:
p(h(6))
= 33

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(g(r(3)))
Evaluate from innermost outward:
f(g(r(3)))
= 234
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