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Evaluate

𝑓
(
5
)
f(5) for
𝑓
(
𝑥
)
=
3
𝑥
2
+
8
f(x)=3x
2
+8 Click Here for Help Video

𝑓
(
5
)
=
f(5)=

1 answer

To evaluate \( f(5) \) for the function \( f(x) = 3x^2 + 8 \), we simply need to substitute \( 5 \) for \( x \) in the function.

Here are the steps:

  1. Substitute \( x = 5 \) into the function:

\[ f(5) = 3(5)^2 + 8 \]

  1. Calculate \( (5)^2 \):

\[ (5)^2 = 25 \]

  1. Multiply by \( 3 \):

\[ 3 \times 25 = 75 \]

  1. Now add \( 8 \):

\[ 75 + 8 = 83 \]

Thus,

\[ f(5) = 83 \]

So, the final answer is:

\[ f(5) = 83 \]