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Given the functions:

f(x) = 6x + 11 and g(x) = x + 6,

which of the following represents f[g(x)] correctly?

A. F[g(x)] = 6x + 47
B. F[g(x)] = 6x + 17
C. F[g(x)] = 6x^2 +47
D. F[g(x)] = 6x^2 + 17

Given the functions: f(x) = 6x + 11 and g(x) = x + 6, which of the following represents-example-1

1 Answer

2 votes

Answer:

f[g(x)] = 6x + 47

Explanation:

The expression f[g(x)] represents a composite function. You need to plug the function g(x) into the "x" value of the f(x) function. Then, you can simplify.

f(x) = 6x + 11 g(x) = x + 6

f[g(x)] <----- Composition expression

f[g(x)] = 6(x + 6) + 11 <----- Plug g(x) into x

f[g(x)] = 6x + 36 + 11 <----- Multiply terms in parentheses by 6

f[g(x)] = 6x + 47 <----- Add 36 and 11

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