Question

Determine h(x^2) for the following function.

Answer 1

\[h(x) = \frac{ -4x }{ x^2 - 9x - 20}\]

Answer 2

\[h \left( x^{2}\right) = \]

Answer 3

Everywhere you see x, replace it with x^2

Answer 4

\(h(\color{red}{x}) = \dfrac{ -4\color{red}{x}}{\color{red}{ x}^2 - 9\color{red}{x} - 20}\)


\(h(\color{red}{x^2}) = ~?\)

Answer 5

h(x^2) = -4x^2/x^2 - 9x^2 - 20

is that what you mean

Answer 6

Almost... but when you replace the x in x^2 with x^2

It would become (x^2)^2 which is equal to x^(2*2) = x^4

Answer 7

x^4

Answer 8

Yes. Can you write the full complete answer now that you know it's supposed to be x^4

\( (x^2)^2 = x^{2\cdot2} = x^4\)

Answer 9

h(x^2) = x^4

Answer 10

no...

Answer 11

\(h(\color{red}{x}) = \dfrac{ -4\color{red}{x}}{\color{red}{ x}^2 - 9\color{red}{x} - 20}\)


\(h(\color{blue}{x^2}) = \dfrac{ -4\color{blue}{x^2}}{\color{blue}{ (x^2)}^2 - 9\color{blue}{x^2} - 20}\)

Answer 12

oh okay i see, i'm sorry

Answer 13

No worries, as long as you understand now!