The functions f f\,f and g g\,g are defined by
f:x→ln(x+3),x∈R,x>−3 f: x \rightarrow \ln(x + 3), \quad x \in \mathbb{R}, x > -3 f:x→ln(x+3),x∈R,x>−3 g:x→5x+2,x∈R,x≠−2 g: x \rightarrow \frac{5}{x+2}, \quad x \in \mathbb{R}, x \neq -2 g:x→x+25,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 ∣5x+2∣=10\displaystyle | \frac{5}{x+2} | = 10∣x+25∣=10
