Answers to Questions on Finding Inverse Functions
Answers to questions in Find Inverse Functions  Questions are presented.
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 + x^{2} , x >= 0
Question 7: Find the inverse of the cube root function f.
f(x) = (x + 1)^{ 1/3}
answer c: f^{ 1}(x) = x^{3}  1
Question 8: Find the inverse of the logarithmic function f.
f(x) = ln (x)
answer c: f^{ 1}(x) = e^{x}
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) = e^{x + 3}  2
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