Question

Are h(x)=4ˣ and j(x)=2²ˣ equivalent

Answer 1

Yes, the functions h(x)=4ˣ and j(x)=2²ˣ are equivalent because they produce the same output for all values of x.

Step-by-step explanation:

Yes, the functions h(x)=4ˣ and j(x)=2²ˣ are equivalent.

In order to prove that two functions are equivalent, we need to show that they produce the same output for every input. We can do this by evaluating the functions for various values of x.

For example, let's evaluate both functions for x=2:

1. h(2) = 4² = 16
2. j(2) = 2²² = 16

As you can see, both functions produce the same output of 16 for x=2. This holds true for all values of x, therefore h(x) and j(x) are equivalent.