Answer:
1. f(x)=x+7
2. f(x)=1.2x
Step-by-step explanation:
1. If f(x+5)=x+12, then substitute
[tex]t=x+5\Rightarrow x=t-5[/tex]
Hence,
[tex]f(t)=(t-5)+12\\ \\f(t)=t+7[/tex]
Now change t into x:
[tex]f(x)=x+7[/tex]
2. If f(x-5)=1.2x-6, then substitute
[tex]t=x-5\Rightarrow x=t+5[/tex]
Hence,
[tex]f(t)=1.2(t+5)-6\\ \\f(t)=1.2t+6-6\\ \\f(t)=1.2t[/tex]
Now change t into x:
[tex]f(x)=1.2x[/tex]
