Let f (x) = 4x-1 and g (x) = 2x^2 + 3 (fg) (x), f/g (x), g/f (x)

Question

Anya Reed

Mathematics

3 December, 20:40

Let f (x) = 4x-1 and g (x) = 2x^2 + 3 (fg) (x), f/g (x), g/f (x)

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Abril Juarez · Answer 1

F (x) = 4x - 1

g (x) - 2x² + 3

(f · g) (x)

(f · g) (x) = (4x - 1) (2x² + 3)

(f · g) (x) = 4x (2x² + 3) - 1 (2x² + 3)

(f · g) (x) = 4x (2x²) + 4x (3) - 1 (2x²) - 1 (3)

(f · g) (x) = 8x³ + 12x - 2x² - 3

(f/g) (x)

(f/g) (x) = 4x - 1

2x² + 3

(g/f) (x)

(g/f) (x) = 2x² + 3

4x - 1

(g/f) (x) = ¹/₂x + ¹/₈ + 3¹/₈

4x - 1