F(x) = x2. What is g(x)?

D

g(x) = 2 x²

Step-by-step explanation:

You are given a co-ordinate on g(x): (2,1). Plug this into the equaitons to see which one holds true.

A

g(x)=(0.5x)²?

2=(0.5(1))²?

2=0.25? NO

B

g(x)=(0.25x)²?

2=(0.25(1))²?

2=0.0625? NO

C

g(x)=0.5x²?

2=0.5(1²)?

2=0.5? NO

D

g(x)=2x²?

2=2(1²)?

2=2? YES

This could also be solved intuitively, since from the graph, you can see that the x values for g(x) are twice the x values for f(x), but the mathematical method above works too, and is useful if you find reading and assuming things from graphs difficult.

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