Question

If f(m) = m2 - 3m + 1, find
(a) f(1/2)​

Answer 1

Answer:

f(1/2)=-1/4.

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Answer 2

Given,

f(m) = m² - 3m + 1.

To find,

f(1/2).

Solution,

Here, a function f(m) is given such that,

f(m) = m² - 3m + 1.

It is required to find out the value of f(1/2). It means we have to find the value of the given function at the fraction $\frac{1}{2}$.

This can be simply determined by substituting this value into the function, that is, for $m=\frac{1}{2}$.

So,

$f(\frac{1}{2} )=(\frac{1}{2} )^2-3(\frac{1}{2} )+1$

⇒ $f(\frac{1}{2} )=(\frac{1}{4} )-(\frac{3}{2} )+1$

⇒ $f(\frac{1}{2} )=(\frac{5}{4} )-(\frac{3}{2} )$

⇒ $f(\frac{1}{2} )=-\frac{1}{4}$

Therefore, for the given function f(m) = m² - 3m + 1, the value of f(1/2) will be $f(\frac{1}{2} )=-\frac{1}{4}.$