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24 votes
24 votes
If
f(x) = 2x² – 5
and
g(x) = 5x + 7
Find
g(f(x)) = [?]x² + [ ]

User LuckyStarr
by
2.7k points

1 Answer

13 votes
13 votes

⇒g(f(x)) means that in the place of x in the function g you will plug in the function f.

⇒This means that
2x^(2) -5 will be plugged in the place of x in 5x+7 and the simplify.


=5(2x^(2) -5)+7\\\\=10x^(2) -25+7\\=10x^(2) -18

⇒Now you have the unknowns The coefficient of the variable
x^(2) is 10 and the constant number is -18.

User Wilker Iceri
by
2.9k points