Question

Jika f(x) = (x-1) /2 dan g(x) = (x)^1/2, maka tentukan jumlah, selisih, hasil kali, hasil bagi dari kedua fungsi tersebut.

Answer 1

Verified answer

Penyelesaian:

Dik: f(x) = x-1 / 2
g(x) = x^1/2

jumlah, selisih, hasil kali, hasil bagi...?

Jawab

f(x) + g(x) = x-1 / 2 + x^1/2
= ( x - 1 + 2x^1/2 ) / 2

f(x) - g(x) = x-1 / 2 - x^1/2
= ( x - 1 - 2x^1/2 ) / 2

f(x) . g(x) = x-1 / 2 . x^1/2 
= ( x(x)^1/2 - x^1/2 ) / 2 
= x^1/2 (x-1)/2

f(x) / g(x) x-1 / 2 . 1 / x^1/2
= (x - 1) / 2(x)^1/2 
karena penyebut tidak boleh akar, kalikan dengan akar sekawan, didapat:
= ( x(x)^1/2 - x^1/2 ) / 2x

Answer 2

Verified answer

Bab Fungsi Komposisi
Matematika SMA Kelas X

f(x) = (x - 1)/2
g(x) = x^(1/2) = √x

1] f(x) + g(x) = (x - 1)/2 + √x = (x - 1 + 2√x)/2

2] f(x) - g(x) = (x - 1)/2 - √x = (x - 1 - 2√x)/2

3] f(x) . g(x) = ((x - 1)/2) . √x = (x√x - √x)/2

4] f(x) : g(x) = ((x - 1)/2) : √x = (x - 1)/(2√x) = (x√x - √x)/2x