f(x) = \( \sqrt{2x-5}\)
g(x) = \( {10 \over x}\frac{}{}\)
solve the equation fg(x) = 5
+128474 fg (x) = 5
√[2x - 5] / 10 / x = 5 multiply both sides by x
√[2x - 5] * 10 = 5x divide both sides by 5
2√[2x -5] = x square both sides
4 (2x - 5) = x^2 rearrange as
x^2 - 8x + 20 = 0 complete the square on x
x^2 - 8x + 16 = -20 + 16
(x - 4)^2 = -4 take both roots
x - 4 = ±√[-4]
x - 4= ±2i
x = 4 ± 2i
