What is the inverse of y= 5/2 sqrt(x+3)-4 ?

The inverse of y= 5/2 sqrt(x+3)-4 is (4x^2+32x+64)/(25)-3

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inverse of y= 5/2 sqrt(x+3)-4

inverse

y = \frac{5}{2} x + 3 - 4

\frac{4 x ^{2} + 32 x + 64}{25} - 3

Solution steps

y = \frac{5}{2} x + 3 - 4

Replace

x

with

y

x = \frac{5}{2} y + 3 - 4

Solve for

y, x = \frac{5}{2} y + 3 - 4

\frac{4 x ^{2} + 32 x + 64}{25} - 3

x^{3} - 21

f (x) = 10 lo g_{10} (\frac{x}{1 0 ^{- 12}})

f (x) = 1 - 2 x + 5

f (x) = \frac{2 x - 1}{x ^{2} + 1}, x = 1

What is the inverse of y= 5/2 sqrt(x+3)-4 ?
The inverse of y= 5/2 sqrt(x+3)-4 is (4x^2+32x+64)/(25)-3