Show that f and g are inverses of each other by verifying that f(g(x)) = x = g(f(x)).f(x) = ; g(x) = 3 - x2

What will be an ideal response?


f(g(x)) = f(3 - x2) =  =  =  = x

g(f(x)) = g() = 3 - 2 = 3 - (3 - x) = 3 - 3 + x = x

Mathematics

You might also like to view...

Draw a line that has the given slope and m = - , b = 2 

A.

B.

C.

D.

Mathematics

Provide an appropriate response.For a certain system of two linear equations, the values of the determinants used in Cramer's rule are and  What is the solution set of the system?

A.
B.
C. {(2, -8)}
D.

Mathematics

The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.1, , ...

A. an = 
B. an = 
C. an = 
D. an = 

Mathematics

Express as a sum of logarithms.log2(16 ? 4)

A. log24 + log22 B. log162 + log42 C. log216 + log24 + log22 D. log216 + log24

Mathematics