The function f defined as f(x) = ((√x + 8)-(√8x + 1))/((√5 - x)-(√7x - 3)), for x ≠ 1

Question

The function f defined as

\(f(x) = \frac{\sqrt{x+8}-\sqrt{8x + 1}}{\sqrt{5-x}-\sqrt{7x - 3}},\) for x ≠ 1

f(x) = ((√x + 8)-(√8x + 1))/((√5 - x)-(√7x - 3)), for x ≠ 1

is continuous at x = 1. Find f(1)

Answer 1

f(x) = ((√x + 8)-(√8x + 1))/((√5 - x)-(√7x - 3))

Given, function is continuous at x = 1