Nested Functions: Worksheet 6 - Intermediate-Advanced Practice Nested Functions INTERMEDIATE ADVANCED

Ready to master Nested Functions? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve nested functions tricks, handle nested functions shortcut methods, and perfect nested functions bank exam questions with our step-by-step solutions.

📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Nested Functions
Worksheet 6 of 10 (55% 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: g(h(3))
Evaluate from innermost outward:
g(h(3))
= 29

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

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

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(g(r(2)))
Evaluate from innermost outward:
p(g(r(2)))
= 228

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

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: q(f(p(2)))
Evaluate from innermost outward:
q(f(p(2)))
= 0.50

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: f(g(p(6)))
Evaluate from innermost outward:
f(g(p(6)))
= 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: p(q(g(6)))
Evaluate from innermost outward:
p(q(g(6)))
= 10

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: f(h(r(4)))
Evaluate from innermost outward:
f(h(r(4)))
= 1091

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

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: g(r(h(5)))
Evaluate from innermost outward:
g(r(h(5)))
= 2324

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(r(5))
Evaluate from innermost outward:
h(r(5))
= 1156

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(3))
Evaluate from innermost outward:
h(f(3))
= 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: r(p(h(3)))
Evaluate from innermost outward:
r(p(h(3)))
= 35

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: g(f(q(4)))
Evaluate from innermost outward:
g(f(q(4)))
= 24

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(h(g(3)))
Evaluate from innermost outward:
p(h(g(3)))
= 526

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(r(5))
Evaluate from innermost outward:
h(r(5))
= 1156

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(p(5)))
Evaluate from innermost outward:
f(h(p(5)))
= 6

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: q(r(g(6)))
Evaluate from innermost outward:
q(r(g(6)))
= 162.50

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