Question

Given that g(x)=x^2​, find each of the following.

​a) g (1)
​b) g (-2)
​c) g(-x)
​d) g (2y)
​e) g(2+h)

Answer 1

g(x) = x²
a) To find g(1) substitute with x = 1 at the function g(x)
∴ g(1) = 1² = 1

b) substitute with x = -2 at the function g(x)
∴ g(-2) = (-2)² = 4

c) substitute with x = -x at the function g(x)
∴ g(-x) = (-x)² = x²

d) substitute with x = 2y at the function g(x)
∴ g(2y) = (2y)² = 4y²

e) substitute with x = 2+h at the function g(x)
∴ g(2+h) = (2+h)² = h² + 4h + 4