Question

Problem 21: Find the functional values f(-5), f(1), and f(3) for the compound function.

f(x)= { |x-5|, if x is less than or equal to 1} { 1 / (x+1), if x is greater than 1}

Answer 1

$$f(x) = \begin{cases} |x - 5|, & \text{if } x \leq 1 \\ \dfrac{1}{x + 1}, & \text{if } x > 1 \end{cases}$$ $$\begin{aligned} f(-5) &= |-5 - 5| = 10 \\ f(1) &= |1 - 5| = 4 \\ f(3) &= \frac{1}{3 + 1} = \frac{1}{4} = 0.25 \end{aligned}$$