The answer to this question is (gof)(x)=2x+7
According to question:
Given: f(x)=4 x, g(x)=1/2 x+7,h(x)=-2 x+4
We always simplify everything in brackets first using BODMAS. Therefore, in order to compute f(g(x)), g(x) must first be calculated and then substituted within f(x). Similar to this, in order to determine g(f(x)), f(x) must first be computed and then substituted in g(x). In other words, the sequence is important when locating the composite functions. It implies that g(f(x)) and f(g(x)) may not be equal. The following procedures are used to obtain the composite function f(g(a)) for any two functions f(x) and g(x).
By changing x = a in g, find g(a) (x).
Put x = g(a) into f to find f(g(a)) (x)
∴(gof)(x)=2x+7
LEARN MORE ABOUT COMPOSITE FUNCTIONS HERE:
https://brainly.com/question/10687170
#SPJ4
