Given `f(x)=2x^{2}-9`, what is the value of `f(5)`?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find the value of \( f(5) \) for the function \( f(x) = 2x^2 - 9 \), we substitute \( x = 5 \) into the function:

\[ f(5) = 2(5)^2 - 9 \]

First, calculate \( (5)^2 \):

\[ (5)^2 = 25 \]

Now, substitute this back into the equation:

\[ f(5) = 2 \times 25 - 9 \]

Next, calculate \( 2 \times 25 \):

\[ 2 \times 25 = 50 \]

Now substitute that value in:

\[ f(5) = 50 - 9 \]

Finally, perform the subtraction:

\[ f(5) = 41 \]

Thus, the value of \( f(5) \) is \( \boxed{41} \).