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Question 1: Find the inverse of the linear function f.
f(x) = 3x - 2
answer e: f -1(x) = (x + 2) / 3
Question 2: Find the inverse of the quadratic function f.
f(x) = -x 2 + 2 , x >= 0
answer e: f -1(x) = sqrt(2 - x)
Question 3: Find the inverse of the quadratic function f.
f(x) = x 2 - 2x , x >= 1
answer b: f -1(x) = 1 + sqrt(x + 1)
Question 4: Find the inverse of the rational function f.
f(x) = 2 / x
answer e: f -1(x) = 2 / x
Question 5: Find the inverse of the rational function f.
f(x) = (x + 1) / (x - 1)
answer a: f -1(x) = (x + 1) / (x - 1)
Question 6: Find the inverse of the square root function f.
f(x) = sqrt (x - 1)
answer b: f -1(x) = 1 + x2 , x >= 0
Question 7: Find the inverse of the cube root function f.
f(x) = (x + 1) 1/3
answer c: f -1(x) = x3 - 1
Question 8: Find the inverse of the logarithmic function f.
f(x) = ln (x)
answer c: f -1(x) = ex
Question 9: Find the inverse of the exponential function f.
f(x) = e x - 1 + 3
answer a: f -1(x) = ln(x - 3) + 1
Question 10: Find the inverse of the logarithmic function f.
f(x) = ln (x + 2) - 3
answer b: f -1(x) = ex + 3 - 2
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