For $f (m) = 3 m^{2} - 5$ $f(m)=3m^2-5$ , how do you find f(4),f(-3),f(6)?

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For $f (m) = 3 m^{2} - 5$ $f(m)=3m^2-5$ , how do you find f(4),f(-3),f(6)?

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Answer 1 · 2015-07-08T15:20:00

$f (4) = 43$ $f(4) = 43$
$f (- 3) = 22$ $f(-3) = 22$
$f (6) = 102$ $f(6) = 102$

Explanation:

Given $f (m) = 3 m^{2} - 5$ $f(color(red)(m))=3color(red)(m)^2-5$

To evaluate $f (4)$ $f(color(red)()4)$ rewrite the given equation replacing each $m$ $color(red)(m)$ with $4$ $color(red)(4)$ and perform the arithmetic.
$XXXX$ $color(white)("XXXX")$ $f (4) = 3 {(4)}^{2} - 5$ $f(color(red)(4)) = 3(color(red)(4))^2 -5$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $= 3 (16) - 5$ $=3(16)-5$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $= 43$ $= 43$

Similarly for $f (- 3)$ $f(color(red)(-3))$
$XXXX$ $color(white)("XXXX")$ $f (- 3) = 3 {(- 3)}^{2} - 5$ $f(color(red)(-3)) = 3(color(red)(-3))^2-5$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $= 3 (9) - 5$ $=3(9)-5$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $= 22$ $= 22$

and for $f (6)$ $f(6)$
$XXXX$ $color(white)("XXXX")$ $f (6) = 3 {(6)}^{2} - 5$ $f(color(red)(6)) = 3(color(red)(6))^2-5$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $= 3 (36) - 6$ $=3(36)-6$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $= 102$ $= 102$

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For $f (m) = 3 m^{2} - 5$ $f(m)=3m^2-5$ , how do you find f(4),f(-3),f(6)?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

For f(m)=3m^2-5f(m)=3m2−5f(m)=3m^2-5, how do you find f(4),f(-3),f(6)?

1 Answer

Explanation:

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For $f (m) = 3 m^{2} - 5$ $f(m)=3m^2-5$ , how do you find f(4),f(-3),f(6)?