Davey Todd
09/09/2023 · Junior High School
Diberikan dua buah fungsi \( f(x)=2 x-5 \) dan \( g(x)=x^{2}+5 x-24 \) Tentukan \( (f+g)(x) \)
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Untuk menentukan \( (f+g)(x) \), kita perlu menjumlahkan kedua fungsi \( f(x) \) dan \( g(x) \).
Diberikan:
\[
f(x) = 2x - 5
\]
\[
g(x) = x^2 + 5x - 24
\]
Maka, kita dapat menghitung \( (f+g)(x) \) sebagai berikut:
\[
(f+g)(x) = f(x) + g(x)
\]
\[
= (2x - 5) + (x^2 + 5x - 24)
\]
Selanjutnya, kita gabungkan semua suku:
\[
= x^2 + 2x + 5x - 5 - 24
\]
\[
= x^2 + 7x - 29
\]
Jadi, hasil dari \( (f+g)(x) \) adalah:
\[
(f+g)(x) = x^2 + 7x - 29
\]
Quick Answer
\( (f+g)(x) = x^2 + 7x - 29 \)
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