Question

F(x) = 275
1. Find the inverse of f(x) and its domain.

Answer 1

y = 1/(x+1) -5

X cannot be -1 because the denominator would go to zero

Explanation:

f(x) = 1/(x+5) -1

y = 1/(x+5) -1

Exchange x and y and solve for y

x = 1/(y+5) -1

x+1 = 1/(y+5)

Multiply by (y+5)

(x+1) (y+5) = 1

Divide by (x+1)

y+5 = 1/(x+1)

Subtract 5

y = 1/(x+1) -5

X cannot be -1 because the denominator would go to zero