Question

Given f(x) = -x^3 and g(x) = |1/8-1|, what is the value of (g x f)(4)?

A) 0
B) -1
C) 1
D) 2

Answer 1

To find (g x f)(4), we calculate f(4) which is -64, and then apply that to g(x) which is constant at 0.875. The closest answer choice to 0.875 is 1.

Step-by-step explanation:

To solve for (g x f)(4), we first need to find the value of f(4) and then apply that result to function g.

Since f(x) = -x^3, we calculate f(4) by plugging in x=4:
f(4) = -(4)^3 = -64.

We know that g(x) = |1/8 - 1|, which simplifies to g(x) = |0.125 - 1| = | -0.875| and ultimately g(x)=0.875.

Since the function g does not depend on x, g(f(4)) will simply be g(-64), which is the absolute value already calculated g(x)=0.875. So, (g x f)(4) = 0.875.

The answer closest to this result among the choices provided is C) 1.