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dem82 [27]
3 years ago
6

Find the results combining these functions.

Mathematics
1 answer:
vodomira [7]3 years ago
4 0
Given f(x) = x^2 + 6x + 9, g(x) = x^2 - 9:

(f+g)(x) = (x^2 + 6x+9)+(x^2-9) =2x^2+6x=2x(x+3), which is the second expression

(f-g)(x) = (x^2 + 6x+9)-(x^2-9) =6x+18=6(x+3), which is the first second expression

(fxg)(x) = (x^2+6x+9)(x^2-9) = (x^4-9x^2)+(6x^3-54x)+(9x^2-81)=x^4+6x^3-54x-81, which is the fourth expression

(f/g)(x) = (x^2+6x+9)/(x^2-9) = \frac{(x+3)^2}{(x+3)(x-3)} = \frac{x+3}{x-3}, which is the third expression
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