Let f(x) = 5 - x and g(x) = 2x - 1. Perform the following operation: (f + g)(-2).

(f + g)(-2) = 2

Step-by-step explanation:

Step 1: Define

f(x) = 5 - x

g(x) = 2x - 1

Step 2: Find (f + g)(x)

(f + g)(x) = 5 - x + 2x - 1

(f + g)(x) = x + 4

Step 3: Find (f + g)(-2)

(f + g)(-2) = -2 + 4

(f + g)(-2) = 2

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this