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

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

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inverse of f(x)=5sqrt(x+3)-2

inverse

f (x) = 5 x + 3 - 2

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

Solution steps

y = 5 x + 3 - 2

Replace

x

with

y

x = 5 y + 3 - 2

Solve for

y, x = 5 y + 3 - 2

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

f (x) = \frac{3}{x - 7}

f (x) = (1.2) (3.8) (- 3.6)

f (x) = \frac{3}{- x + 2}

f (x) = \frac{x - 10}{x - 6}

f (x) = cot (x)

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