Answer:
C
Step-by-step explanation:
To evaluate f(g(7)), substitute x = 7 into g(x), then substitute the result into f(x)
g(7) = (2 × 7) - 5 = 14 - 5 = 9, then
f(9) = 3(9)² - 4 = 243 - 4 = 239 → C
Option C is correct.
Given functions are, [tex]f(x)=3x^{2} -4,g(x)=2x-5[/tex]
We have to find [tex]f(g(7))[/tex].
[tex]g(7)=2*7-5=14-5=9[/tex]
So that, [tex]f(g(7))=f(9)[/tex]
[tex]f(9)=3*(9)^{2}-4\\ \\f(9)=243-4=239\\\\f(g(7))=f(9)=239[/tex]
Learn more about the composite function here:
https://brainly.com/question/10687170
