Question

Find h(a – 2) if h(x) = x^2 – 3x

Answer 1

`h(a-2)=a^2\text{ - 7a + 10}`

Step-by-step explanation

We have the function given as:

`h(x)=x^2\text{ - 3x}`

To find h(a - 2), we have to replace x in the function with a - 2.

That is:

`\begin{gathered} h(a-2)=(a-2)^2\text{ - 3(a - 2)} \\ h(a-2)=a^2\text{ - 2a - 2a + 4 - 3a + 6} \\ h(a-2)=a^2\text{ -4a - 3a + 4 + 6} \\ h(a-2)=a^2\text{ - 7a + 10} \end{gathered}`

That is the answer.