Question

Which equation is a function of x?
X=5
X=y^2+9
X^2=y
X^2=y^2+16

Answer 1

x^2=y would a a function of x

Answer 2

Answer: The answer is (c) x² = y.

Step-by-step explanation: We are given four options out of which we are to select the one which is a function of 'x'.

To be a function of 'x', the equation must involve 'y to the power 1' only.

The first option is

`x=5,` which is constant and so this option is incorrect.

The second option is

`x=y^2+9,` which is incorrect because it involves y².

The third option is

`x^2=y,` which is correct because it involves a single power of y.

The fourth option is

`x^2=y^2+16,` which is also incorrect because it involves y².

Thus, (c) x² = y is the correct option.