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Let f and g be defined as f(x) = 3× -5 and g(x) = x^2 (squared) a. f+g (x) b. f-g (x) c. f•g (x) d. f/g (x)​

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FUNCTION OPERATION

Let f and g be defined as f(x) = 3x - 5 and g(x) = x².

Find:

a.) (f + g)(x) b.) (f - g)(x) c.) (f • g)(x) d.) (f/g)(x)

SOLUTIONS:

  • a. (f + g)(x)

(3x - 5) + (x²)

3x - 5 + x²

= x² + 3x - 5

  • b. (f - g)(x)

(3x - 5) - (x²)

3x - 5 - x²

= -x² + 3x - 5

  • c. (f • g)(x)

(3x - 5)(x²)

= 3x³ - 5x²

  • d. (f/g)(x)

= [tex] \frac{3x - 5}{x²} [/tex]

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