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

Solution:

It is given that

f(x) = 4 - x²

g(x) = 6x

We know that f(x) and g(x) are both the functions of x and depend on x.

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

Now substitute the value in the formula

(g - f) (x) = 6x - (4 - x²)

(g - f) (x) = 6x - 4 + x²

(g - f) (x) = x² + 6x - 4

Substitute the value x = 3

(g - f) (3) = 3² + 6 (3) - 4

(g - f) (3) = 9 + 18 - 4

(g - f) (3) = 23

Therefore, the expression which is equivalent to (g - f) (3) is 23.

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

Summary:

If f(x) = 4 - x² and g(x) = 6x, the expression which is equivalent to (g - f) (3) is 23.