The functions f f\,f and g g\,g are defined by
f:x→ln(3x−2),x∈R,x>23 f: x \rightarrow \ln(3x - 2), \quad x \in \mathbb{R}, x > \frac{2}{3} f:x→ln(3x−2),x∈R,x>32 g:x→3x−2,x∈R,x≠2 g: x \rightarrow \frac{3}{x-2}, \quad x \in \mathbb{R}, x \neq 2 g:x→x−23,x∈R,x=2Find the exact value of fg(3)fg(3)fg(3)
Find an expression for f−1(x)f^{-1}(x)f−1(x) and state its domain
Sketch the graphs of f(x)f(x)f(x) and f−1(x)f^{-1}(x)f−1(x) on the same diagram
Sketch the graph of y=∣g(x)∣y = |g(x)|y=∣g(x)∣
Find the exact values of ∣3x−2∣=4\displaystyle | \frac{3}{x-2} | = 4∣x−23∣=4
