If f(x)=4-x^2 and g(x)=6x which expression is equivalent to (g-f)(3)

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Explanation:

#(g-f)(x)=g(x)-f(x)#
#color(white)(xxxxxx)=6x-(4-x^2)#
#color(white)(xxxxxx)=x^2+6x-4#
#"to evaluate "(g-f)(3)" substitute x = 3 into "(g-f)(x)#
#(g-f)=(color(red)(3))^2+(6xxcolor(red)(3))-4=23#

Algebra 2 Question

Ana G.

asked • 10/18/16

please help with this algebra 2 question

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Daniel T. answered • 10/18/16

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(g-f)(3) = g(3)-f(3)

g(x) = 6x

g(3) = 6(3) = 18

f(x) = 4-x2

f(3) = 4-(3)2 =4-9 = -5

g(3)-f(3) = 18 - (-5) = 18+5 = 23

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fx=4-x^2 gx=6x expression equivalent g-f3