Question

Given: f(x)=(1)/(x);r(x)=x^(3);h(x)=(x+1)/(x-1) Evaluate f(r(-(1)/(2))). Round your answer to two decimal places.

Answer 1

To evaluate f(r(-1/2)), first calculate r(-1/2), which is (-1/2)^3 = -1/8. Then apply function f to this result to get f(-1/8) = -8. The final answer for f(r(-1/2)) is -8.

Step-by-step explanation:

To solve for f(r(-1/2)), we need to first find r(-1/2) and then apply the function f to the result.

Step 1: Evaluate r(-1/2)

Let's evaluate r(x) at x = -1/2:

r(-1/2) = (-1/2)^3 = -1/8

Step 2: Evaluate f(r(-1/2))

Now we apply the function f, which is f(x)=1/x, to the result obtained in Step 1:

f(r(-1/2)) = f(-1/8) = 1/(-1/8) = -8

The final answer is -8, and this value is already exact, so rounding is not necessary.