Answer:
f(1/x) = 2(3 + x) / 4 + 3x
g(x - 2) = √(x - 2)(x - 7)
Explanation:
f(x) = 6x + 2 / 4x + 3
f(1/x) = 6/x + 2 / 4/x + 3
= 6 + 2x/x / 4 + 3x/x
= 6 + 2x/x * x/4 + 3x
= 6 + 2x / 4 + 3x
= 2(3 + x) / 4 + 3x
g(x) = √x² - 5x
g(x - 2) = √(x - 2)² - 5(x - 2)
= √x² + 4 - 4x - 5x + 10
= √x² - 9x + 14
= √x² - 2x - 7x + 14
= √x(x - 2) - 7(x - 2)
= √(x - 2)(x - 7)