Given that f(x) = x^2 and g(x) = x + 4, what… | GMAT Sprint

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PS · Problem Solving

sub-505

Functions

Given that $f(x) = x^2$ and $g(x) = x + 4$ , what is $g(f(x)) =$

Answer Choices

Correct answer marked below

x + 4

x^2 + 8

x + 16

x^2 + 4

Correct

x^3 + 4x^2

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Explanation

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Official Explanation

Official

f(x) = x^2

and

g(x) = x + 4

, then

g(f(x)) =

(A)

x + 4

(B)

x^2 + 8

(C)

x + 16

(D)

x^2 + 4

(E)

x^3 + 4x^2

. The expression g(f(x)) represents g of f(x). For instance, if we…

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Comments

AashrithJul 1, 2024

thanks!

AdyantJul 21, 2024

Thankss

ChristopherSep 11

thanks, this one was pretty straightforward once I remembered to plug f into g

OlgaSep 15

same, I almost picked x+4 at first lol

JannatMay 3

wait why isn't it E? I thought you multiply them for composition

AshwinMay 15

composition isn't multiplication, g(f(x)) means put f(x) inside g. so wherever g has an x, you drop in x^2

MahakSep 26

Easy level for sure. g(f(x)) just means take x^2 and stick it into g. So x+4 becomes x^2+4.

What this question tests

What it tests

Your ability to evaluate and compose functions, including unusual defined operations.

Common trap

Applying function operations in the wrong order or ignoring domain restrictions.

Given that f(x)=x2f(x) = x^2f(x)=x2 and g(x)=x+4g(x) = x + 4g(x)=x+4, what is g(f(x))=g(f(x)) =g(f(x))=