IDNLearn.com offers a reliable platform for finding accurate and timely answers. Whether it's a simple query or a complex problem, our community has the answers you need.
Sagot :
To find the difference between the functions [tex]\( s(x) \)[/tex] and [tex]\( r(x) \)[/tex], we need to compute [tex]\( (s - r)(x) \)[/tex]. Here are the detailed steps:
1. Express the functions [tex]\( r(x) \)[/tex] and [tex]\( s(x) \)[/tex]:
[tex]\[ r(x) = -x^2 + 3x \][/tex]
[tex]\[ s(x) = 2x + 1 \][/tex]
2. Find the difference [tex]\( (s - r)(x) \)[/tex]:
[tex]\[ (s - r)(x) = s(x) - r(x) \][/tex]
3. Substitute the expressions for [tex]\( s(x) \)[/tex] and [tex]\( r(x) \)[/tex]:
[tex]\[ (s - r)(x) = (2x + 1) - (-x^2 + 3x) \][/tex]
4. Simplify the expression by distributing and combining like terms:
[tex]\[ (s - r)(x) = 2x + 1 + x^2 - 3x \][/tex]
[tex]\[ (s - r)(x) = x^2 + 2x - 3x + 1 \][/tex]
[tex]\[ (s - r)(x) = x^2 - x + 1 \][/tex]
Therefore, the difference [tex]\( (s - r)(x) \)[/tex] is:
[tex]\[ (s - r)(x) = x^2 - x + 1 \][/tex]
1. Express the functions [tex]\( r(x) \)[/tex] and [tex]\( s(x) \)[/tex]:
[tex]\[ r(x) = -x^2 + 3x \][/tex]
[tex]\[ s(x) = 2x + 1 \][/tex]
2. Find the difference [tex]\( (s - r)(x) \)[/tex]:
[tex]\[ (s - r)(x) = s(x) - r(x) \][/tex]
3. Substitute the expressions for [tex]\( s(x) \)[/tex] and [tex]\( r(x) \)[/tex]:
[tex]\[ (s - r)(x) = (2x + 1) - (-x^2 + 3x) \][/tex]
4. Simplify the expression by distributing and combining like terms:
[tex]\[ (s - r)(x) = 2x + 1 + x^2 - 3x \][/tex]
[tex]\[ (s - r)(x) = x^2 + 2x - 3x + 1 \][/tex]
[tex]\[ (s - r)(x) = x^2 - x + 1 \][/tex]
Therefore, the difference [tex]\( (s - r)(x) \)[/tex] is:
[tex]\[ (s - r)(x) = x^2 - x + 1 \][/tex]
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.