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Svetach [21]
3 years ago
7

1. Find f(x) if it is known that f(x+5)=x+12.

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Answer:

1. f(x)=x+7

2. f(x)=1.2x

Step-by-step explanation:

1. If f(x+5)=x+12, then substitute

t=x+5\Rightarrow x=t-5

Hence,

f(t)=(t-5)+12\\ \\f(t)=t+7

Now change t into x:

f(x)=x+7

2. If f(x-5)=1.2x-6, then substitute

t=x-5\Rightarrow x=t+5

Hence,

f(t)=1.2(t+5)-6\\ \\f(t)=1.2t+6-6\\ \\f(t)=1.2t

Now change t into x:

f(x)=1.2x

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