If $f(x)=3x-4$ and $g(x)=x^2$ , how do you find the value of $f(3)-g(2)$ ?

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Answer 1 · 2017-01-05T14:30:34

See complete process below:

First, we can find the formula for the subtraction without substitution:

$f(color(red)(x)) - g(color(blue)(x)) = (3color(red)(x) - 4) - color(blue)(x)^2$

We can now substitute the values for the functions:

$f(color(red)(3)) - g(color(blue)(2)) = ((3 xx color(red)(3)) - 4) - color(blue)(2)^2$

We can now solve the equation:

$f(color(red)(3)) - g(color(blue)(2)) = (9 - 4) - 4$

$f(color(red)(3)) - g(color(blue)(2)) = 5 - 4$

$f(color(red)(3)) - g(color(blue)(2)) = 1$

If f(x)=3x-4f(x)=3x-4 and g(x)=x^2g(x)=x^2, how do you find the value of f(3)-g(2)f(3)-g(2)?