If f(x) = 2x² - 1, what is f(-3)?

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Multiple Choice

If f(x) = 2x² - 1, what is f(-3)?

Explanation:
To find \( f(-3) \) for the function \( f(x) = 2x^2 - 1 \), we start by substituting \(-3\) into the function for \( x \). First, calculate \( (-3)^2 \): \[ (-3)^2 = 9 \] Next, substitute this result back into the function: \[ f(-3) = 2(9) - 1 \] Now, calculate \( 2 \times 9 \): \[ 2 \times 9 = 18 \] Then subtract \( 1 \): \[ f(-3) = 18 - 1 = 17 \] Thus, the correct answer is indeed \( 17 \).

To find ( f(-3) ) for the function ( f(x) = 2x^2 - 1 ), we start by substituting (-3) into the function for ( x ).

First, calculate ( (-3)^2 ):

[

(-3)^2 = 9

]

Next, substitute this result back into the function:

[

f(-3) = 2(9) - 1

]

Now, calculate ( 2 \times 9 ):

[

2 \times 9 = 18

]

Then subtract ( 1 ):

[

f(-3) = 18 - 1 = 17

]

Thus, the correct answer is indeed ( 17 ).

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