What is the inverse of f(x)=4x+sqrt(x+17) ?

The inverse of f(x)=4x+sqrt(x+17) is (8x+1+sqrt(16x+1089))/(32),(8x+1-sqrt(16x+1089))/(32)

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inverse of f(x)=4x+sqrt(x+17)

inverse

f (x) = 4 x + x + 17

\frac{8 x + 1 + 16 x + 1089}{32}, \frac{8 x + 1 - 16 x + 1089}{32}

Solution steps

y = 4 x + x + 17

Replace

x

with

y

x = 4 y + y + 17

Solve for

y, x = 4 y + y + 17

\frac{8 x + 1 + 16 x + 1089}{32}, \frac{8 x + 1 - 16 x + 1089}{32}

f (x) = x + 24

(x + 5)^{3} - 4

lo g_{2} (k x - 10)

f (x) = \frac{2 x + 3}{x - 5}

f (x) = \frac{3 - 2 x}{3 x + 1}

What is the inverse of f(x)=4x+sqrt(x+17) ?
The inverse of f(x)=4x+sqrt(x+17) is (8x+1+sqrt(16x+1089))/(32),(8x+1-sqrt(16x+1089))/(32)