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In this activity, you'll combine two related functions, f(x) = 6x + 5 and x(y) = 4y2 – 25, to create a type of function called a composite function. Then you’ll evaluate the composite function. For the given functions, find f(x) if y = 3.

Respuesta :

we are given

[tex] f(x)=6x+5 [/tex]

[tex] x=4y^2 -25 [/tex]

we can plug x into f(x)

[tex] f(x)=6(4y^2 -25)+5 [/tex]

now, we can simplify it

[tex] f(x)=6*4y^2 -6*25+5 [/tex]

[tex] f(x)=24y^2 -150+5 [/tex]

[tex] f(x)=24y^2 -145 [/tex]

now, we can plug y=3

[tex] f(x)=24(3)^2 -145 [/tex]

[tex] f(x)=71 [/tex].............................Answer


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