SAT Mathematics Practice Test 2

Question : 30 of 58

Marks: +1, -0

A function f satisfies

f(2)=3

and

f(3)=5

. A function g satisfies

g(3)=2

and

g(5)=6

. What is the value of

fg((3))

Solution:

It is given that

g(3)=2

. Therefore, to find the value of

f(g(3))

, substitute 2 for

g(3)

f(g(3))=f(2)=3.

Choices A, C, and D are incorrect and may result from misunderstandings about function notation.

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