if f(x) = x² and g(x) = 4 - x, then:
fg(x) = (4 - x)² = 16 - 8x + x2
gf(x) = 4 - x²
(f+g)(x) = x² + 4 - x
(f - g)(x) = x² - 4 + x
(fg)(x) = 4x² - x³
(f/g)(x) = x²/4 - x (iff x ≠ 4)
To find ( g(2) ) given the function ( g(x) = 4x - 2 ), we simply substitute ( x ) with 2. Thus, ( g(2) = 4(2) - 2 = 8 - 2 = 6 ). Therefore, ( g(2) = 6 ).
The acceleration due to gravity on the surface of the planet would be four times greater than that of Earth. This is because the acceleration due to gravity is directly proportional to the radius of the planet, and inversely proportional to the square of the radius. Since the radius of the planet is half that of Earth, the acceleration due to gravity would increase accordingly.