Question

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.

Answer 1

we are given

$f(x)=6x+5$

$x=4y^2 -25$

we can plug x into f(x)

$f(x)=6(4y^2 -25)+5$

now, we can simplify it

$f(x)=6*4y^2 -6*25+5$

$f(x)=24y^2 -150+5$

$f(x)=24y^2 -145$

now, we can plug y=3

$f(x)=24(3)^2 -145$

$f(x)=71$.............................Answer