Federal 2nd Year Mathematics — MCQs, Short & Long Questions

Model answers for short question aren’t in the question bank yet. Practise writing your own; answers will appear here as they’re added.

Find the domain and range of the following functions.

f (x) = x + 7

Find the domain and range of the following functions.

f (x) = 2 x ² + 1

Find the domain and range of the following functions.

f (x) = ∣ x - 2 ∣ - 3

Find the domain and range of the following functions.

f (x) = 1 + s i n x

Find the domain and range of the following functions.

f (x) = (x - 1)^{2} + 1

Check whether the following functions are one-to-one or not:

f (x) = 4 x - 7

Check whether the following functions are one-to-one or not

f (x) = 6 x^{2} + 2

Find the domain and range of inverse functions when.

f (x) = 4 x - 3

Find the domain and range of inverse functions when

f (x) = x ² + 6

Also prove that

f (f^{- 1} (x)) = f^{- 1} (f (x)) = x .