Question

F(x)=x^2. What is g(x)?

Answer 1

Answer:

g(x)=$(\dfrac{x}{3})^2$

Step-by-step explanation:

We are given that:

f(x)=x²

We have to find g(x)

Since, we are given that g(3)=1

Hence, we will proceed by the options.

1. g(x)=$(\dfrac{x}{9})^2$

at x=3 g(x)=1/9

Hence, this option is incorrect.

2. g(x)=3x²

at x=3, g(x)=27

Hence, this option is incorrect.

3. g(x)= x²/3

at x=3, g(x)=3

Hence, this  option is incorrect.

4. g(x)=$(\dfrac{x}{3})^2$

at x=3, g(x)=1

Hence, this option is correct.

Answer 2

g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4