Diketahui f(x) = 5x + 2 dab g(x) = 3 – 2x , jika fungsi komposisi (fºg) (a) = -3 , nilai a adalah

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a. -2
b. -1
c. 1
d. 2
e. 3

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Diketahui f(x) = 5x + 2 dab g(x) = 3 – 2x , jika fungsi komposisi (fºg) (a) = -3 , nilai a adalah

d. 2

penjelasan

f(x) = 5x+2

g(x) = 3-2x

(fog)(x) = f(g(x))

(fog)(x) = f(3-2x)

(fog)(x) = 5(3-2x)+2

(fog)(x) = 15-10x+2

(fog)(x) = -10x+17

(fog)(a) = -10a+17

-3 = -10a+17

-20 = -10a

a = (-20)÷(-10)

a = 2