Diketahui fungsi f(x) = ax + b dan g(x) = x + c. Jika (f o g)(x) = 3x dan f(x) – g(x) = 2x + 2, maka a + b + c =…

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Diketahui fungsi f(x) = ax + b dan g(x) = x + c. Jika (f o g)(x) = 3x dan f(x) – g(x) = 2x + 2, maka a + b + c =…

f(x)-g(x) = 2x+2

* ax+b-x+c = 2x+2

ax-x = 2x

ax = 3x

a = 3

fog(x) = 3x

a(x+c)+b = 3x

3x+3c+b = 3x

3c+b = 0

3c = b

c = b/3

balik ke *

b+c = 2

b+b/3 = 2

3b+b = 6

4b = 6

b= 3/2

c = b/3

c=3/2/3

c = 1/2

a+b+c = 3+3/2+1/2

a+b+c = 10/2

a+b+c = 5