Question

Please jawab

Tentukan nilai mutlak dari
|2x-3| = 4

Dan

Log 2 = a
Log 3 = b Jawab Log 30 =
Log 5 = c

Dan

f(x) = 2x + 15
g(x) = -2x²- 15
(fog)(x) =

Answer 1

|2x - 3| = 4
akar (2x - 3)² = 4
(2x - 3)² = 4²
[(2x - 3) + 4] [(2x - 3) - 4] = 0
(2x + 1) (2x -7) = 0
2x = -1
x = -½
atau
2x = 7
x = 3½

log2 = a
log3 = b
log5 = c
log 30
= log(2.3.5)
= log 2 + log 3 + log 5
= a + b + c

f(x) = 2x + 15
g(x) = -2x² - 15
(fog) (x)
= f(g(x))
= f (-2x² - 15)
= 2 (-2x² - 15) + 15
= -4x² - 30 + 15
= -4x² - 15