Operations with Functions and Composition of Functions

When f(x) = 3x² + 7x and g(x) = 2x² - x - 1 Find (f + g)(x).

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• 5x² + 8x - 1

When f(x) = 3x² + 7x and g(x) = 2x² - x - 1 Find f(x) - g(x)

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• x² + 8x +1

When f(x) = 4x + 1 and g(x) = 4x - 3 Find f(x) * g(x)

• 16x² + 8x - 3

• 16x² - 8x + 3

• 16x² - 8x - 3

• 16x² - 16x - 3

If f(x) = {(2, 3), (4, 8), (7, –1)} and g(x) = {(8, 2), (–1, 4), (2, 7)}, find (f ◦ g)(x), if it exists.

• {(–1, 3), (8, 8), (2, –1)}

• {(8, 3), (–1, 8), (2, –1)}

• {(2, 3), (–1, 8), (8, –1)}

• does not exist