Question

F(x)=square root of 9-kx^2/k show your work

Answer 1

√((9 - kx^2) / k)

Explanation:

To show the work for evaluating the function f(x) = √(9 - kx^2) / k, we can follow these steps:

• Step 1: Simplify the expression under the square root:

9 - kx^2

• Step 2: Divide the expression by k:

(9 - kx^2) / k

• Step 3: Take the square root of the expression:

√((9 - kx^2) / k)

• Note: It is important to consider any domain restrictions or assumptions about the values of k and x that would make the expression valid. For example, if k is negative, the expression would have an imaginary result.

Answer 2

Sure! Here’s the solution:

F(x)=k9−kx2​​

First, let’s square both sides to get rid of the square root:

F(x)2=k9−kx2​

Now, let’s multiply both sides by k to isolate the term with x^2:

kF(x)2=9−kx2

Next, let’s move all terms to one side of the equation:

kF(x)2+kx2=9

Finally, let’s factor out x^2:

x2(k+kF(x)2)=9

And solve for x^2:

x2=k+kF(x)29​