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which of the following is the inverse of f(x)=3-x/5?​

Which Of The Following Is The Inverse Of Fx3x5 class=

Sagot :

Themathexpertiseidn

Answer:

B. f⁻¹(x) = 3 - 5x

Step-by-step explanation:

f(x) = (3 - x)/5

Replace f(x) with y.

y = (3 - x)/5

Switch the variables.

x = (3 - y)/5

Multiply both sides by 5.

5x = 3 - y

Subtract 3 from both sides.

5x - 3 = -y

Multiply both sides by -1.

y = -5x + 3

Apply commutative property.

y = 3 - 5x

Replace y with f⁻¹(x).

f⁻¹(x) = 3 - 5x.

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