Jawab:
Penjelasan dengan langkah-langkah:
1.
a. (fog)(x) = f(g(x)) = f(5x) = 3(5x)+10 = 15x+10
b. (gof)(x) =g(f(x))= g(3x+10) = 5(3x+10) = 15x + 50
c. (hof)(x) = h(f(x)) = h(3x+10) = 6(3x+10)² - 4
d.(goh)(x)= g(h(x)) = g(6x²-4) = 5(6x²-4) = 30x² - 20
e. ((fog)oh)(x) = (fog)(6x²-4) = 15(6x²-4) +10 = 90x² - 50
f. (fo(goh)(x) = f(30x² - 20) = 3(30x² - 20)+ 10 = 90x² - 50
2.
a. (gof)(x) = 5x-2
4(f(x))+1 = 5x-2
4f(x) = 5x - 2 -1
4f(x) = 5x - 3
f(x) = 5/4x - 3/4
b.
(gof)(x) = x²+2x-7
f(x) + 4 = x²+2x-7
f(x) = x²+2x-7- 4
f(x) = x²+2x-11
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Jawab:
Penjelasan dengan langkah-langkah:
1.
a. (fog)(x) = f(g(x)) = f(5x) = 3(5x)+10 = 15x+10
b. (gof)(x) =g(f(x))= g(3x+10) = 5(3x+10) = 15x + 50
c. (hof)(x) = h(f(x)) = h(3x+10) = 6(3x+10)² - 4
d.(goh)(x)= g(h(x)) = g(6x²-4) = 5(6x²-4) = 30x² - 20
e. ((fog)oh)(x) = (fog)(6x²-4) = 15(6x²-4) +10 = 90x² - 50
f. (fo(goh)(x) = f(30x² - 20) = 3(30x² - 20)+ 10 = 90x² - 50
2.
a. (gof)(x) = 5x-2
4(f(x))+1 = 5x-2
4f(x) = 5x - 2 -1
4f(x) = 5x - 3
f(x) = 5/4x - 3/4
b.
(gof)(x) = x²+2x-7
f(x) + 4 = x²+2x-7
f(x) = x²+2x-7- 4
f(x) = x²+2x-11