College

11. Evaluate the function [tex]f(x) = 2x^2 - 3x + 1[/tex] given [tex]x = 3x - 5[/tex].

Choose the correct expression for [tex]f(3x - 5)[/tex]:

A. [tex]f(3x - 5) = 18x^2 - 69x + 66[/tex]
B. [tex]f(3x - 5) = 18x^2 - 63x + 51[/tex]
C. [tex]f(3x - 5) = 18x^2 + 69x - 66[/tex]
D. [tex]f(3x - 5) = 18x^2 + 63x - 51[/tex]

Answer :

Final answer:

To evaluate the function f(x) = 2x² - 3x + 1 given x = 3x - 5, substitute 3x - 5 into the function and simplify.


Explanation:

To evaluate the function f(x) = 2x² - 3x + 1 given x = 3x - 5, we substitute 3x - 5 into the function in place of x.

Substituting 3x - 5, we get f(3x - 5) = 2(3x - 5)² - 3(3x - 5) + 1.

Simplifying this expression gives us f(3x - 5) = 18x² - 69x + 66, so the correct answer is option a: f(3x-5) = 18x²-69x+66.


Learn more about Function evaluation here:

https://brainly.com/question/12056604


Other Questions