Question the-fu

2.1 Nonlinear Functions - Function composition and evaluation
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The function f is defined by fx=x2+x+71. What is the value of f2?

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The function f is defined by f x = x 2 + x + 71 .

Medium-difficulty · SAT Math · Nonlinear Functions — Function composition and evaluation. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 77 . It’s given that the function f is defined by fx=x2+x+71. Substituting 2 for x in function f yields f2=22+2+71, which is equivalent to f2=4+2+71, or f2=77. Therefore, the value of f2 is 77 .