Question

Find range of y= f(x) =x+1​

Answer 1

Domain of f(x) is −1≤x≤4

Given , g(x)=4−3f(x−2)

Here , −1≤x−2≤4

⇒1≤x≤6

So, domain of g(x) is [1,6]. a=1,b=6

Range of f(x) is 1≤f(x)≤10

⇒1≤f(x−2)≤10

⇒3≤3f(x−2)≤30

⇒−30≤−3f(x−2)≤−3

⇒−26≤4−3f(x−2)≤1

So,c=−26,d=1q

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