Answer:
The answers are given below.
Step-by-step explanation:
4.
1. f(x) = [tex]\frac {-3}{x + 12}[/tex]
2. x = [tex]\frac {-3}{y + 12}[/tex] [taking y = f(x)]
⇒ y + 12 = [tex]\frac {-3}{x}[/tex]
⇒f(x) = [tex]\frac {-3}{x} - 12[/tex]
3. f{x) - 96 = [tex]\frac {-24}{x} - 96[/tex]
⇒ f(x) = [tex]\frac {-24}{x}[/tex]
4. x = [tex]\frac {-24}{y}[/tex] [taking y = f(x)]
⇒ f(x) = [tex]\frac {-24}{x}[/tex]
5. 24f(x) = [tex]\frac {24}{x}[/tex]
⇒ f(x) = [tex]\frac {1}{x}[/tex]
