Answer:
[tex]g(x)=5.4x+3[/tex], graph of f(x) vertically compressed by factor 0.6 to get g(x).
Step-by-step explanation:
The given function is
[tex]f(x)=9x+5[/tex]
It is given that the graph of a function g is a transformation of the graph of
f (x), where g(x) is 60% of f(x). So, we need to write a rule for g.
[tex]g(x)=60\%\text{ of }f(x)[/tex]
It means graph of f(x) vertically compressed by factor 0.6 to get g(x).
[tex]g(x)=\dfrac{60}{100}(9x+5)[/tex]
[tex]g(x)=0.6(9x+5)[/tex]
[tex]g(x)=0.6(9x)+0.6(5)[/tex]
[tex]g(x)=5.4x+3[/tex]
Therefore, [tex]g(x)=5.4x+3[/tex]. Graph of f(x) vertically compressed by factor 0.6 to get g(x).
