Which of the following function map 3 to -5?
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Answer:
B
Step-by-step explanation:
Consider all options and find f(3):
A. [tex]f(x)=x-5[/tex]
Then
[tex]f(3)\\ \\=3-5\\ \\=-2[/tex]
Not -5, so this option is false.
B. [tex]f(x)=4-x^2[/tex]
Then
[tex]f(3)\\ \\=4-3^2\\ \\=4-9\\ \\=-5[/tex]
This option is true.
C. [tex]f(x)=x+8[/tex]
Then
[tex]f(3)\\ \\=3+8\\ \\=11[/tex]
Not -5, so this option is false.
D. [tex]f(x)=-x+2[/tex]
Then
[tex]f(3)\\ \\=-3+2\\ \\=-1[/tex]
Not -5, so this option is false.