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91Ó°ÊÓ

Examples 4 and 5 Iff(x)=−2x−3 andg(x)=x2+5x, find each value. (P. 50)

f(c−5)

Short Answer

Expert verified

The function value atx=c−5 is −2c+7.

Step by step solution

01

Step 1. Interpreting of function.

fc−5Indicates the value of functionfx atx=c−5

02

Step 2. Apply substitution method.

Substitutex=c−5 into the functionfx

fc−5=−2c−5−3

03

Step 3. Further calculation:

fc−5=−2c−5−3fc−5=−2c+10−3fc−5=−2c+7

Thus, the function value atx=c−5 is −2c+7.

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