Question

f(x)=2x+b such that f^-1(-4) =-4
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Answer 1

Answer:

b = 4

Step-by-step explanation:

given : f(x) = 2x+b -----------(i)

and

f^-1(-4) = -4

=> f(-4) = -4 [ coz , if f^-1(b) = a , then , f(a)=b ]

now putting -4 in place of x in eq(i)

=> f(-4) = 2×-4 + b

=> -4 = -8 + b [ coz , f(-4) = -4 ]

=> b = 4 .