Question

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

Answer 1

See complete process below:

Explanation:

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`