Respuesta :
Answer:
[tex]4f(3)+2f(-3)=30[/tex]
Step-by-step explanation:
We have been given that f(x) is an even function and f(3)=5. We are asked to find the value of 4f(3)+2f(-3).
Since we know that graph of an even function is symmetric with respect to y-axis. By the definition of an even function, a function f is even if and only if f(-x)=f(x) for all x in the domain of f.
Since we have been given that f(x) is an even function, so f(3)=f(-3).
Upon substituting our given values we will get,
[tex]4f(3)+2f(-3)=4*5+2*5[/tex]
[tex]4f(3)+2f(-3)=20+10[/tex]
[tex]4f(3)+2f(-3)=30[/tex]
Therefore, the value of [tex]4f(3)+2f(-3)[/tex] will be 30.
