Soalan / Question 4 Fungsi f dan g adalah seperti berikut: The functions f and g are defined by: f(x) = x² + 3 for x > 0, 1 for x> g(x) = 2x + 1 a) Cari ungkapan bagi fg(x). Find an expression for f g(x). b) Cari ungkapan bagi (fg)-(x) dan nyatakan domain bagi (fg)-(x). Find and expression for (f g)-1(x) and state the domain of (f g)-(x). c) Selesaikan persamaan fg(x) – 3 = gf(x). Solve the equation f g(x) – 3 = gf (x).
Soalan / Question 4 Fungsi f dan g adalah seperti berikut: The functions f and g are defined by: f(x) = x² + 3 for x > 0, 1 for x> g(x) = 2x + 1 a) Cari ungkapan bagi fg(x). Find an expression for f g(x). b) Cari ungkapan bagi (fg)-(x) dan nyatakan domain bagi (fg)-(x). Find and expression for (f g)-1(x) and state the domain of (f g)-(x). c) Selesaikan persamaan fg(x) – 3 = gf(x). Solve the equation f g(x) – 3 = gf (x).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Soalan / Question 4
Fungsi f dan g adalah seperti berikut:
The functions f and g are defined by:
f(x) = x² + 3
for x > 0,
1
for x>
g(x) = 2x + 1
a) Cari ungkapan bagi fg(x).
Find an expression for f g(x).
b) Cari ungkapan bagi (fg)-(x) dan nyatakan domain bagi (fg)-1(x).
Find and expression for (f g)-1(x) and state the domain of (f g)-'(x).
c) Selesaikan persamaan fg(x) – 3 = gf(x).
Solve the equation f g(x) – 3 = gf (x).
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