Question

if y =f(x)=5x+3/4x-5. then show that f(y)=x

Answer 1

HLO FRD HERE IS YOUR ANS
✨✨✨✨ Y = f(x)= 5x+3/4x-5
y = 5x+3,/4x-5
multiply both side by ( 4x-5)
(4x-5)y=5x+3
4xy-5y=5x+3
4xy-5y-5x=3
x(4y-5) - 5y= 3
x=( 3+5y)/ (4y-5)
ans x = (3 + 5y) / (4y -5) =f (y )
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Answer 2

Step-by-step explanation:

We have been given that

$y=\frac{5x+3}{4x-5}$

Cross multiplying, we get

$y(4x-5)=5x+3$

Distribute y over the parenthesis

$4xy-5y=5x+3$

Rewrite this equation as

$4xy-5x=3+5y$

Take x GCF from left hand side

$x(4y-5)=3+5y$

Divide both sides by (4y-5)

$x=\frac{3+5y}{(4y-5)}...(i)$

When we substitute y in the given expression then we well get

$f(y)=\frac{3+5y}{(4y-5)}...(ii)$

From equation (i) and (ii)

f(y) = x