Given that f(x)=2x+1
a) find f(2)
b)find f^-1(x)
c)f^-1(7)

a) , b) , c)

Step-by-step explanation:

a) We evaluate the function at :

b) First, we determine the inverse of the function by algebraic means:

1) Given

2) Compatibility with addition/Associative property

3) Existence of additive inverse/Modulative property

4) Compatibility with multiplication/Commutative and associative properties

5) Existence of multiplicative inverse/Modulative and commutative properties

6) Symmetry property of equality

7) Definitions of subtraction and division

8) //Result

c)  Now we evaluate the expression obtained on b) at the given number: