Question

F (2x-5) = 2x^2-3x+1
F (x) dan F (1)

Answer 1

Jawab:

fungsi komposisi

Penjelasan dengan langkah-langkah:

f(2x - 5) = 2x² - 3x + 1

misalkan  2x - 5 = a

maka  2x = a + 5

x =  (a + 5)/2

.

f(2x - 5) = 2x² - 3x + 1

f(a ) =  2 { (a+5)/2}² - 3 {(a + 5)/2) + 1

f(a) =  2 (a²+10a + 25)/4   -  3(a + 5)/2   + 1

f(a) = 1/2 (a² +10 a + 25 )  - 3/2 ( a+ 5) + 1

f(a) = 1/2 a² + 5a + 25/2  - 3/2 a - 15/2 + 1

f(a) = 1/2 a² + 7/2 a + 6

f(x) = 1/2 x² + 7/2 x  + 6

.

f(1) = 1/2 (1²) + 7/2 (1) + 6

f(1) = 1/2 + 7/2 + 6

f(1) = 8/2 + 6 = 4 + 6

f(1) = 10