Question

If f(x)=4-x^2 and g(x)=6x, which expression is equivalent to (g-f)(3)?

Answer 1

Answer:

$6(3) - 4 + 3^2$

Step-by-step explanation:

We have $(g-f)(x) = g(x) - f(x)$ because, that is how it is defined. Now, substituting g(x) and f(x) we obtain

$(g-f)(x) = g(x) - f(x) = 6x - (4-x^2)$

the minus sign is applied to everything inside the parenthesis

$6x - (4-x^2) = 6x - 4 + x^2$

and finally evaluating with x = 3, the result is

$(g-f)(x) = 6(3) -4+ 3^2$

Answer 2

Answer:

see explanation

Step-by-step explanation:

Note that (g - f) = g(x) - f(x) = 6x - (4 - x²) = 6x - 4 + x²

(g - f)(3) = 6(3) - 4 + 3²