How do you evaluate the function $f (x) = \frac{3}{4} x^{2} - 11$ $f(x) = 3/4x^2 - 11$ for $f (2)$ $f(2)$ ?

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Answer 1 · 2018-03-20T16:19:06

See a solution process below:

For each occurrence of $x$ $color(red)(x)$ in $f (x)$ $f(x)$ substitute $2$ $color(red)(2)$ and then evaluate the function:

$f (x) = \frac{3}{4} x^{2} - 11$ $f(color(red)(x)) = 3/4color(red)(x)^2 - 11$ becomes:

$f (2) = (\frac{3}{4} \times 2^{2}) - 11$ $f(color(red)(2)) = (3/4 xx color(red)(2)^2) - 11$

$f (2) = (\frac{3}{4} \times 4) - 11$ $f(color(red)(2)) = (3/4 xx 4) - 11$

$f (2) = 3 - 11$ $f(color(red)(2)) = 3 - 11$

$f (2) = - 8$ $f(color(red)(2)) = -8$

How do you evaluate the function f(x)=34x2−11f(x) = 3/4x^2 - 11 for f(2)f(2)?