Given ð‘š(ð‘¥) = 2−ð‘¥/ð‘¥^2+1 and ð‘›(ð‘¥) = 3ð‘¥^2+8ð‘¥, find the following and give the domain in interval notation. Show all work. a) (n/m)(x) b) (m + n)(x) c) (m * n)(x) d) (m * n)(1)
Added by Juana M.
Step 1
a) (n/m)(x) = (3𝑥2+8𝑥)/(2−𝑥)/(𝑥2+1) To simplify this expression, we need to multiply by the reciprocal of the denominator: (n/m)(x) = (3𝑥2+8𝑥)/(2−𝑥)/(𝑥2+1) * (𝑥2+1)/(2−𝑥) (n/m)(x) = (3𝑥2+8𝑥)(𝑥2+1)/(2−𝑥)(𝑥2+1) (n/m)(x) = (3𝑥4+11𝑥2+8𝑥)/(2𝑥2−𝑥2−1) (n/m)(x) = Show more…
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