Find the domain and range of the following functions:
a. f: ℝ → ℝ by f(x) = −x2 + 2
b. f: ℝ → ℝ by f(x) = 1 / x + 1
c. f: ℝ → ℝ by f(x) = √4 − x
d. f: ℝ → ℝ by f(x) = |x|
e. f: ℝ → ℝ by f(x) = 2x+2

please provide awnser options

Step-by-step explanation:

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