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just olya [345]
3 years ago
13

For the function f(x)=x^2+8x+2and g(x)= -5x+9, find (f•g)(x) and (f•g)(1)

Mathematics
1 answer:
strojnjashka [21]3 years ago
3 0

Answer:  (f·g)(x) = -5x³ - 31x² + 62x + 18

               (f·g)(1) = 44

<u>Step-by-step explanation:</u>

f(x) = x² + 8x + 2          g(x) = -5x + 9

(f·g)(x) = (x² + 8x + 2)(-5x + 9)

          = -5x³ + 9x²

                    - 40x² + 72x

             <u>                   - 10x + 18</u>

          = -5x³ - 31x² + 62x + 18

(f·g)(1)= -5(1)³ - 31(1)² + 62(1) + 18

         =  -5     -   31    + 62   + 18

         =  44

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