Question

f(m) = (x + 1)(x - 5)| has two solutions. What is the set of values for f(m)? How would you describe the locations of values in this solution set?​

Answer 1

x = {x: -1, 5}

Explanation:

`{ \rm{f(m) = (x + 1)(x - 5)}}`

- To find the values of function f(m), we consider its zero or its root by letting f(m) = 0

`{ \rm{f(m) = 0 = (x + 1)(x - 5)}} \\ { \rm{(x + 1)(x - 5) = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: }}`

- Either (x + 1) or (x - 5) is equated to zero

• For (x + 1);

`{ \rm{x + 1 = 0}} \\ { \rm{x = - 1}}`

• For (x - 5);

`{ \rm{x - 5 = 0}} \\ { \rm{x = 5}}`

Therefore, x is -1 and 5

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