Question

Given f(x)= -x^2 + 2x, find f(-3)

Answer 1

To evaluate this function, substitute -3 for x.

Given function :

⇒
`\sf{f(x)=-x^2+2x}`

Substitute -3 for x :

⇒
`\sf{f(-3)=-(-3)^2+2(-3)}`

Evaluate & simplify :

⇒
`\sf{f(-3)=-9-6}`

⇒
`\sf{f(-3)=-15}`

Therefore, f(-3) = -15.

Answer 2

To find f(-3), we need to substitute -3 into the given function f(x) = -x^2 + 2x.

Replacing x with -3, we have:

f(-3) = -(-3)^2 + 2(-3)

Now let's simplify the expression:

f(-3) = -(9) + (-6)

To simplify further, we multiply -1 by 9 and -1 by 6:

f(-3) = -9 - 6

Next, we combine the like terms:

f(-3) = -15

Therefore, f(-3) = -15.