suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)? what is a rule for f(g(x))? suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)? what is a rule for f(g(x))?
Mathematics · High School · Tue Nov 03 2020
Answered on
For finding f(g(x))or ( f of g of x ) we know how this function works .
For example f(x)= 5x+3 and we wanna find out f(5) , so we substitute the value of x which is 5 into f(x) equation then we get
f(5) =5*5+3=28 this is the ans
Similarly for finding f(g(x)) we substitute x the value of g(x) into the given function f(x) let's apply the opretion in given qution
Given f(x) =4x+7 ,g(x)=2x , substitute “x” in f(x) by the value of g(x) we get
f(g(x))= 4(2x)+7
f(g(x))=8x+7
Similarly we can find out g(f(x))
Given f(x) =4x+7 ,g(x)=2x , substitute “x” in g(x) by the value of f(x) we get
G(f(x))= 2(4x+7)
G(f(x))=8x+14