If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g - f)(3)?

The equivalent expression is (g - f) (3) = 23

Solution:

Given that,

To find: (g - f)(3)

We know that,

(g - f)(x) = g(x) - f(x)

Substituting values we have:

Rewriting we get,

Now let us evaluate for x = 3

Substitute x = 3 in above equation

Therefore the equivalent expression is (g - f) (3) = 23