Question

Find g(4x) g(x)=x²-4

Answer 1

$\large{\rm{\underline{\underline{Answer:}}}}$

• Given g(x) = x² - 4 which is function of x and changes with the value of x

Now we have g(4x). This means, we have to replace x by 4x and correspondence to this, the equation will change. I.e.

⇛ g(4x) = (4x)² - 4

⇛ g(4x) = 16x² - 4 / 4(4x² - 1) [answer]

Answer 2

Answer:

g(x) = x² - 4 is already in form of a variable, I.e., x

g(4x) takes another variable, I.e., 4x

Same as before, 4x takes over x:

=> g(4x) = (4x)² - 4

• (ax)² = a²x², where a is some arbitrary constant.

Answer:

=> g(4x) = 16x² - 4

OR

=> g(4x) = 4{4x² - 1}