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Diberikan dua buah fungsi f(x)=x​ dan g(x)=x2+1. Tentukan rumus fungsi f+g, f⋅g, dan gf​, serta selanjutnya tentukan domain dari fungsi yang baru terbentuk!

Pertanyaan

Diberikan dua buah fungsi undefined dan undefined.

Tentukan rumus fungsi undefinedundefined, dan undefined, serta selanjutnya tentukan domain dari fungsi yang baru terbentuk!

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style f left parenthesis x right parenthesis equals square root of x straight D subscript f equals left square bracket 0 comma infinity right parenthesis  g left parenthesis x right parenthesis equals x squared plus 1 straight D subscript g equals left parenthesis negative infinity comma infinity right parenthesis  left parenthesis f plus g right parenthesis left parenthesis x right parenthesis equals f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis left parenthesis f plus g right parenthesis left parenthesis x right parenthesis equals square root of x plus x squared plus 1 straight D subscript f plus g end subscript equals straight D subscript f intersection straight D subscript g straight D subscript f plus g end subscript equals left square bracket 0 comma infinity right parenthesis intersection left parenthesis negative infinity comma infinity right parenthesis straight D subscript f plus g end subscript equals left square bracket 0 comma infinity right parenthesis  left parenthesis f times g right parenthesis left parenthesis x right parenthesis equals f left parenthesis x right parenthesis times g left parenthesis x right parenthesis left parenthesis f times g right parenthesis left parenthesis x right parenthesis equals square root of x times open parentheses x squared plus 1 close parentheses straight D subscript f times g end subscript equals straight D subscript f intersection straight D subscript g straight D subscript f times g end subscript equals left square bracket 0 comma infinity right parenthesis intersection left parenthesis negative infinity comma infinity right parenthesis straight D subscript f times g end subscript equals left square bracket 0 comma infinity right parenthesis  open parentheses f over g close parentheses left parenthesis x right parenthesis equals fraction numerator f left parenthesis x right parenthesis over denominator g left parenthesis x right parenthesis end fraction open parentheses f over g close parentheses left parenthesis x right parenthesis equals fraction numerator square root of x over denominator open parentheses x squared plus 1 close parentheses end fraction straight D subscript open parentheses f over g close parentheses end subscript equals straight D subscript f intersection straight D subscript g straight D subscript open parentheses f over g close parentheses end subscript equals left square bracket 0 comma infinity right parenthesis intersection left parenthesis negative infinity comma infinity right parenthesis straight D subscript open parentheses f over g close parentheses end subscript equals left square bracket 0 comma infinity right parenthesis end style  

45

4.0 (4 rating)

Pertanyaan serupa

Diberikan dua buah fungsi f(x)=2x+5 dan g(x)=x2. Tentukan rumus fungsi f+g, f⋅g, dan gf​, serta selanjutnya tentukan domain dari fungsi yang baru terbentuk!

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