If $f (x) = 2 + x$ $f (x) = 2 + x$ ; $g (x) = x^{2} + 5$ $g(x) = x^2 + 5$ , then what is (f - g)(-5)?

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If $f (x) = 2 + x$ $f (x) = 2 + x$ ; $g (x) = x^{2} + 5$ $g(x) = x^2 + 5$ , then what is (f - g)(-5)?

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Answer 1 · 2017-05-04T14:03:57

$(f - g) (- 5) = - 23$ $(f-g)(-5)=-23$

Explanation:

If
$XXX f (x) = 2 - x$ $color(white)("XXX")color(green)(f(x))=color(green)(2-x)$
and
$XXX g (x) = x^{2} + 5$ $color(white)("XXX")color(blue)(g(x))=color(blue)(x^2+5)$
then
$XXX (f - g) (x) = (2 - x) - (x^{2} + 5)$ $color(white)("XXX")(color(green)f-color(blue)g)(color(red)x)=(color(green)(2-color(red)x))-(color(blue)(color(red)x^2+5))$

$XXXXXXXXX = - (x^{2} + x + 3)$ $color(white)("XXXXXXXXX")=-(color(red)x^2+color(red)x+3)$
and
$XXX (f - g) (- 5) = - ({(- 5)}^{2} + (- 5) + 3)$ $color(white)("XXX")(f-g)(color(red)(-5))=-(color(red)((-5))^2+color(red)((-5))+3)$

$XXXXXXXXXX = - (25 - 5 + 3)$ $color(white)("XXXXXXXXXX")=-(25-5+3)$

$XXXXXXXXXX = - 23$ $color(white)("XXXXXXXXXX")=-23$

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If $f (x) = 2 + x$ $f (x) = 2 + x$ ; $g (x) = x^{2} + 5$ $g(x) = x^2 + 5$ , then what is (f - g)(-5)?

1 Answer

Explanation:

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If f(x)=2+xf (x) = 2 + x ; g(x)=x2+5g(x) = x^2 + 5, then what is (f - g)(-5)?

1 Answer

Explanation:

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If $f (x) = 2 + x$ $f (x) = 2 + x$ ; $g (x) = x^{2} + 5$ $g(x) = x^2 + 5$ , then what is (f - g)(-5)?