Diketahui f(x) = 2x – 5,g-¹(X)=X+3 per 4dan H-¹ (x) =

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8x + 1. Nilai (f.• (g•h))-¹(-7) adalah ….
a. -11
b. -7
c. 1
d. 7
e. 13​

Diketahui f(x) = 2x – 5,g-¹(X)=X+3 per 4dan H-¹ (x) =

Penjelasan dengan langkah-langkah:

-)f(x) = 2x-5

-)g(x) = 4x-3

-)h(x) = (x-1)/8

=> g•h = g(h(x)) = 4(x-1)/8 -3

=> (x-1)/2 – 3

=> (x-7)/2

=>f•(g•h) = f(g(h(x))

=> f[(x-7)/2]

=> 2(x-7)/2 – 5

=> x-12

Maka invers dari f•(g•h) = x+12

=> [f•(g•h)]-¹ (-7) = (-7)+12 => 5