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

The inverse of f(x)=4sqrt(5x+3)-3 is (x^2+6x-39)/(80)

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inverse of f(x)=4sqrt(5x+3)-3

inverse

f (x) = 4 5 x + 3 - 3

\frac{x ^{2} + 6 x - 39}{80}

Solution steps

y = 4 5 x + 3 - 3

Replace

x

with

y

x = 4 5 y + 3 - 3

Solve for

y, x = 4 5 y + 3 - 3

\frac{x ^{2} + 6 x - 39}{80}

lo g_{e} (x)

f (x) = arccot (- 3)

f (x) = 2 + 5 (3^{0.5 x - 2})

f (x) = - 4 x + 16

f (t) = 3 t - 2

What is the inverse of f(x)=4sqrt(5x+3)-3 ?
The inverse of f(x)=4sqrt(5x+3)-3 is (x^2+6x-39)/(80)