Question 1: We have the following functions: \(f(x) = - 5x - 4
g(x) = 6x - 7\) We have then: For f (x) + g (x): We add both functions. We have then: \(f (x) + g (x) = (- 5x - 4) + (6x - 7)
f (x) + g (x) = (- 5x + 6x) + (-4 - 7)
f (x) + g (x) = x - 11\) Answer: D. x - 11
Question 2: We have the following functions: \(f(x) = 3x + 2
g(x) = 6x - 7\) We have then: For f (x) - g (x): We subtract both functions. We have then: \(f (x) - g (x) = (3x + 2) - (6x - 7)
f (x) - g (x) = (3x - 6x) + (2 + 7)
f (x) - g (x) = -3x + 9\) Answer: B. -3x + 9 Question 3: We have the following functions: \(f(x) = -5x + 3
g(x) = 6x - 2\) We have then: \(f (x)*g (x) = (-5x + 3)*(6x - 2)\) Rewriting we have: \(f (x)*g (x) = -30x^2 + 10x + 18x - 6
f (x)*g (x) = -30x^2 + 28x - 6\) The domain of the function is all real because it has no restriction. Answer: C. -30x^2 + 28x - 6; all real numbers
