Option B: [tex]6x^2-10x+19[/tex] is the correct answer
Step-by-step explanation:
Given functions are:
[tex]f(x) = 3x^2-5x+13\\g(x) = 2x-7[/tex]
We have to find g(f(x))
So,
[tex]g(f(x)) = 2(f(x))-7\\= 2(3x^2-5x+13)-7\\=6x^2-10x+26-7\\= 6x^2-10x+19[/tex]
Hence,
Option B: [tex]6x^2-10x+19[/tex] is the correct answer
Keywords: Functions, Composition
Learn more about functions at:
- brainly.com/question/5500978
- brainly.com/question/550017
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