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

The inverse of f(x)=2sqrt(x)+3 is (x^2)/4-(3x)/2+9/4

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

inverse

f (x) = 2 x + 3

\frac{x ^{2}}{4} - \frac{3 x}{2} + \frac{9}{4}

Solution steps

y = 2 x + 3

Replace

x

with

y

x = 2 y + 3

Solve for

y, x = 2 y + 3

\frac{x ^{2}}{4} - \frac{3 x}{2} + \frac{9}{4}

(2, 3), (- 2, 1)

f (x) = 3^{x + 1}

f (x) = (4 x - 8 sin (x))

f (x) = 3 x

(8, 3), (9.5, - 3)

What is the inverse of f(x)=2sqrt(x)+3 ?
The inverse of f(x)=2sqrt(x)+3 is (x^2)/4-(3x)/2+9/4