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Here the function is f(x) = 2x. For every input value x, the output value is doubled.

It is also called as one-one function. For two different input values a and b there there should be unique output values that is f(a) ≠ f(b).

It is also called as onto function. For every element in the codomain or range there is an x in the domain.

1) Find the inverse of the function y = x/4 - 6

Answer: |
y = x/4 - 6 4 y = 4 (x/4 – 6 ) 4y = x – 24 x = 4y + 24 f^(-1)(x) = 4x + 24 |

2) If f(x) = -4x and g(x) = -x + 8, find (f . g) (3)

Answer: |
(f . g) (3) = f [g(3)] g(3) = - 3 + 8 = 5 f [g(3)] = f [5] = -4 (5) = -20 |