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How Do I Answer This Question class=

Sagot :

Answer:

[tex]f^{-1}[/tex] (59) = 20

Step-by-step explanation:

[tex]f^{-1}[/tex] (x) is the inverse of f(x)

to find the inverse function, let f(x) = y and rearrange to make x the subject.

y = 3x - 1 ( add 1 to both sides )

y + 1 = 3x ( divide both sides by 3 )

[tex]\frac{y+1}{3}[/tex] = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+1}{3}[/tex] , then

[tex]f^{-1}[/tex] (59) = [tex]\frac{59+1}{3}[/tex] = [tex]\frac{60}{3}[/tex] = 20
f(x) = 3x-1
y = 3x-1
——
x = 3y - 1
y = (x+1)/3
f^-1(x) = (x+1)/3
____
f^-1(59) = (59+1)/3 = 60/3 = 20
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