Using this equation, f(3) = 23.
In order to find the value of f(3), we need to take the f(x) equation and put 3 everywhere we see x. Then we follow the order of operations to solve. So, let's start with the original.
f(x) = 2x^2 + 5sqrt(x - 2)
Now place 3 in for each x.
f(3) = 2(3)^2 + 5sqrt(3 - 2)
Now square the 3.
f(3) = 2(9) + 5 sqrt(3 - 2)
Do the subtraction inside of the parenthesis.
f(3) = 2(9) + 5sqrt(1)
Take the square root
f(3) = 2(9) + 5(1)
Multiply.
f(3) = 18 + 5
And add.
f(3) = 23

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Divide by 2/3 on both sides :
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Change the divide fraction to multiplication fraction :
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Simplify :
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Square root both sides :
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Answer :
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Answer: The smallest possible value of x is -6---------------------------------------------------------------------
I hope this helps.if you have any questions regarding what I did you can ask
You said -x + 8 > 6
Subtract 8 from each side: -x > -2
Add 'x' to each side: 0 > -2 + x
Add 2 to each side: 2 > x
Now, test the choices:
A). Can 'x' be 4 ?
No. 2 is not greater than 4 .
B). Can 'x' be 1 ?
Yes. 2 is greater than 1 .
C). Can 'x' be 2 ?
No. 2 is not greater than 2 .
D). Can 'x' be 15 ?
No. 2 is not greater than 15 .