Answer: 147
Step-by-step explanation:
To evaluate 2f(3)+3f(-3), we first need to find the values of f(3) and f(-3). Given f(x), we just plug in x=3, -3 into f(x).
f(3)=2(3)²-4(3)+9 [exponent]
f(3)=2(9)-4(3)+9 [parenthesis]
f(3)=18-12+9 [subtract]
f(3)=6+9 [add]
f(3)=15
Now, we find f(-3).
f(-3)=2(-3)²-4(-3)+9 [exponent]
f(-3)=2(9)-4(-3)+9 [parenthesis]
f(-3)=18+12+9 [add]
f(-3)=30+9 [add]
f(-3)=39
With the values of f(3) and f(-3), we can evaluate the expression.
2(15)+3(39) [multiply]
30+117 [add]
147
Now, we know the value is 147.
