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practice testMultiple Choice

Practice Test

Question 1 • Algebra 2 with Probability

If f of x is equal to x plus 1 and g of x is equal to 2 x minus 7 , which expression is equivalent to open bracket f circ g close bracket times 3 ?

Answer
A
2 times 3 squared minus 6
B
2 times open paren 3 plus 1 close paren minus 7
C
open paren 3 plus 1 close paren times open paren 2 times 3 minus 7 close paren
D
open paren 2 times 3 minus 7 close paren plus 1

Explanation

The composition (f ∘ g)(3) means first evaluate g(3), then apply f to that result. Since g(3) = 2 × 3 − 7, and f(x) = x + 1, the expression is (2 × 3 − 7) + 1. This matches choice D.

AI-written and checked against the verified answer.

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