Question

Given the functions f(x) = 6x 11 and g(x) = x2 6, which of the following functions represents f[g(x)] correctly? f[g(x)] = 36x2 132x 127 f[g(x)] = 36x2 132x 121 f[g(x)] = 6x2 47 f[g(x)] = 6x2 36.

Answer 1

Function defines relationship between variables. The value of the f[g(x)] when the value of f(x)=6x+11 and g(x)=x²+6 is f[g(x)]= 36x²+47.

What is a function?

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

f(x) = 6x + 11

g(x) = x² +  6

As we know the two functions, given to us f(x) = 6x + 11, therefore substitute the value of x as g(x) in order to find the value of f[g(x)] ,

$f(x) = 6x + 11\\\\f[g(x)] = 6(x^2 + 6) + 11\\\\f[g(x)] = 6x^2 + 36 + 11\\\\f[g(x)] = 6x^2 + 47$

Hence, the value of the f[g(x)] when the value of f(x)=6x+11 and

g(x)=x²+6 is f[g(x)]= 36x²+47.

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