𝑓
(
𝑥
)
=
−
2
𝑥
(
𝑥
−
1
)
(
𝑥
−
2
)

Find
𝑓
(
1
)

If the value of the function is undefined write "no solutions".

If the value of the function is complex write "no solutions".

Question

𝑓
(
𝑥
)
=
−
2
𝑥
(
𝑥
−
1
)
(
𝑥
−
2
)

Find 
𝑓
(
1
)

If the value of the function is undefined write "no solutions".

If the value of the function is complex write "no solutions".

BlackTom AI · Accepted Answer

The function given is f(x) = -2 x (x - 1) (x - 2). To find f(1), substitute x = 1 into the expression.

f(1) = -2 × 1 × (1 - 1) × (1 - 2).
Since (1 - 1) = 0, the entire product becomes 0, regardless of the other factors. Therefore f(1) evaluates to 0.

A quick check of the domain: this is a polynomial, which is defined for all real numbers (and complex numbers as well). There is no division by zero or square root of a negative number involved, so no undefined or complex issues arise here.

Thus, the computed value is obtained directly from the zero factor without needing further consideration of undefined cases.

MATH136-1IP-IO-202430-I-81X M04: Midterm Exam Review Quiz - Timed

𝑓 ( 𝑥 ) = − 2 𝑥 ( 𝑥 − 1 ) ( 𝑥 − 2 ) Find 𝑓 ( 1 ) If the value of the function is undefined write "no solutions". If the value of the function is complex write "no solutions".

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