find a number c that f◦g=g◦f?

0 ⤊

where f(x)=5x-2 and g(x)=cx-3

2007-04-18 18:00:40 · 4 answers · asked by papapita 1 in Science & Mathematics ➔ Mathematics

f◦g=g◦f
f◦g = 5(cx-3) -2 = 5cx - 17
g◦f = c(5x-2) - 3 = 5cx -2c-3

f◦g=g◦f => -2c-3 = -17 => c = 7

Answer 7

2007-04-18 18:11:36 · answer #1 · answered by Nishit V 3 · 0⤊ 0⤋

fâ¦g= 5(cx-3)-2
gâ¦f = c(5x-2) -3
5cx-15-2 =5cx -2c -3
-14 =-2c
7=c

2007-04-19 01:15:23 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋

5(cx-3) - 2 = c(5x-2) - 3
5cx - 15 - 2 = 5cx - 2c - 3
-17 = -2c - 3
-14 = -2c
c =7

:)

2007-04-19 01:09:48 · answer #3 · answered by Anonymous · 0⤊ 0⤋

c=15/2

2007-04-19 01:09:47 · answer #4 · answered by saurabh 1 · 0⤊ 0⤋