Final answer:
To find the value of B in the function g(x), we substitute x = -1 and g(-1) = 3 into the equation and solve for B. The value of B is 5.
Step-by-step explanation:
The given function is g(x) = 2x² - Bx - 4. We are given that g(-1) = 3. To find the value of B, we substitute x = -1 into the equation and solve for B.
When we replace x with -1 in the function, we get g(-1) = 2(-1)² - B(-1) - 4 = 3. Solving this equation will give us the value of B.
Let's solve the equation:
2(-1)² - B(-1) - 4 = 3
2(1) + B - 4 = 3
2 + B - 4 = 3
B - 2 = 3
B = 3 + 2
B = 5