If f(2b-1)=6b+2 then the function f(x)=3x+5.
Given that the value of function f(x) at x=2b-1 is 6b+2.
We are required to find the function f(x).
Function is like a relationship between two or more variables that are expressed in equal to form. The values that we enter in the function are known as part of domain and the values that we get from the function are part of codomain or range of that function. Here 2b-1 is a part of domain and 6b+2 is a part of range.
f(2b-1)=6b+2.---------1
let 2b-1=x
b=(x+1)/2
Put the value of 2b-1=x and b=(x+1)/2 in 1.
f(x)=6(x+1)/2 +2
f(x)=3(x+1)+2
f(x)=3x+3+2
f(x)=3x+5
Hence if f(2b-)=6b+2 then the function f(x)=3x+5.
Learn more about functions at https://brainly.com/question/10439235
#SPJ9