Dari soal, diberikan fungsi
dengan
. Akan dicari fungsi
yang merupakan contoh dari fungsi ganjil dari pilihan yang ada.
Untuk mengerjakan soal, akan diperiksa masing-masing jawaban.
Untuk opsi A, perhatikan bahwa

jika pada
dilakukan substitusi
menjadi
, maka

Perhatikan bahwa
. Sehingga fungsi ini bukan fungsi ganjil. Opsi A tidak tepat.
Untuk opsi B, perhatikan bahwa

jika pada
dilakukan substitusi
menjadi
, maka

Perhatikan bahwa
. Sehingga fungsi ini bukan fungsi ganjil. Opsi B tidak tepat.
Untuk opsi C, perhatikan bahwa

jika pada
dilakukan substitusi
menjadi
, maka

Perhatikan bahwa
. Sehingga fungsi ini bukan fungsi ganjil. Opsi C tidak tepat.
Untuk opsi D, perhatikan bahwa

jika pada
dilakukan substitusi
menjadi
, maka

Perhatikan bahwa
. Sehingga fungsi ini adalah fungsi ganjil. Opsi D tepat.
Untuk opsi E, perhatikan bahwa

jika pada
dilakukan substitusi
menjadi
, maka

Perhatikan bahwa
. Sehingga fungsi ini bukan fungsi ganjil. Opsi E tidak tepat.
Jadi, jawaban yang tepat adalah D.