F(x) = x+ + 3 g(x) = 4x - 3 Given the functions below find (f*g)(-1)

Mathematics

1 answer:

Mashutka [201]4 years ago

3 0

(f×g)(-1) is -14.

Step-by-step explanation:

Step 1: Calculate (f×g)(x) by using the formula (f×g)(x) = f(x) × g(x)

⇒ (f×g)(x) = (x + 3)(4x - 3)

⇒ (f×g)(x) = 4x² - 3x + 12x - 9

⇒ (f×g)(x) = 4x² + 9x - 9

Step 2: Find (f×g)(-1) by substituting -1 in the place of x

⇒ (f×g)(-1) = 4(-1)² + 9(-1) - 9

⇒ (f×g)(-1) = 4 - 9 - 9 =-14

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