Question

Given that g(x)=x2, find each of the following.

a) g(3)
b) g(-1)
c) g( - x)
d) g(2y)
e) g(1 + h)
a) g(3) = (Simplify your answer.)

Answer 1

Explanation:

a)

g(3) = 9

b)

g(-1) = 1

c)

g(-x) = x²

d)

g(2y) = 4y²

e)

g(1 + h) = 1 + h² + 2h

using the identity (a +b)² = a² + b² + 2ab

Answer 2

a) g(3) = 9

b) g(-1) = 1

c) g(-x) = x²

d) g(2y) = 4y²

e) g(1+h) = 1 + 2h + h²

Explanation:

a) when x = 3 ,

g(3) = 3² = 9

b) when x = -1 ,

g(-1) = (-1)² = 1

c) when x = -x ,

g( -x ) = (-x)² = x²

d) when x= 2y ,

g( 2y ) = (2y)² = 4y²

e) when x = 1 + h ,

g( 1 + h ) = ( 1 + h )² = 1 + 2h + h²