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26 votes
26 votes
If f(x)=x^2 and g(x)=2x+3, what is f(g(x))

User Brian Sanchez
by
3.0k points

2 Answers

5 votes
5 votes

Answer:

f(g(x) = (2x+3)^2

Step-by-step explanation:

f(g(x)) = f(2x+3)

stand for

= (2x+3)^2

User Chaos Monkey
by
2.7k points
25 votes
25 votes

Answer:


\huge\boxed{f(g(x)) = 4x^2 + 12x + 9}

Step-by-step explanation:

In its raw form, function notation essentially represents an equation with only one unknown variable, expressed in terms of another. Thus, f(x) = x² + 7x can be expressed as

g(x) = 2x + 3

f(g(x)) = (2x + 3)²

f(g(x)) = 4x² + 12x + 9

Hope it helps :) and let me know if you want me to elaborate.

User Ataboy Josef
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2.7k points