Find the inverse of f(x)=-x+1. Graph the line y=-x+1 together with the line y=x. At what angle do the lines intersect?

89. Use limits to find horizontal asymptotes for each function.

a. y = x tan(1/x)

Use reference triangles in an appropriate quadrant to find the angles in Exercises 1–8.

5. a. arccos(1/2)

2. Which of the following functions grow faster than e^x as x→∞? Which grow at the same rate as e^x? Which grow slower?

a. 10x^4 + 30x + 1

Use reference triangles in an appropriate quadrant to find the angles in Exercises 1–8.

4. b. arcsin(-1/√2)

a. Show that h(x) = x³ / 4 and k(x) = (4x)^(1/3) are inverses of one another.

88. Given that x>0, find the maximum value, if any, of

a. x^(1/x)