Question

If f:R---> R defined as f(X) = 2x-7/4 is an invertble function ,find f^-1 ​

Answer 1

Step-by-step explanation:

Here ,given f(x) = 2x-7/4

let f( x)= y

y = 2x-7/4

since, f(X) is invertble

•°• 2x-7 = 4y

2x = 4y + 7/2

•°• f^-1 (y ) = 4y + 7/2

=> f-1(x) = 4x+7/2

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Hope it helps !

@Rajukumar111

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Answer 2

Answer:

f⁻¹(x) = (4x + 7)/2

Step-by-step explanation:

Given,

f(x) = (2x - 7)/4

Let f(x) = y

=> (2x - 7)/4 = y

∴ x = (4y + 7)/2 ∈ R

∴ f⁻¹(x) = (4x + 7)/2

Hope it helps!