How to do this? (#21 and #23)The graph of g is a transformation of the graph of f. Write a rule for g.
Accepted Solution
A:
Answer:21. g(x) = f(x-1); 23. g(x) = -ƒ(x) Step-by-step explanation:21. ƒ(x) = log₃x
The graph is shifted one unit to the right.
One unit must have been subtracted from x.
g(x) = -f(x-1) = log₃(x-1)
Figure 1 shows ƒ(x) (blue) and g(x) (green) shifted one unit to the right,
23. [tex]f(x) = \log_{\frac{1 }{ 2}}x[/tex]The graph is inverted.
ƒ(x) must have been multiplied by -1.
g(x) = -ƒ(x)[tex]g(x) = -\log_{\frac{1 }{ 2}}x[/tex]Figure 2 shows ƒ(x) (purple) and g(x) = -ƒ(x) (black).