What is the inverse of f(x)=2x^2-13x+15 ?

The inverse of f(x)=2x^2-13x+15 is (13+sqrt(8x+49))/4 ,(13-sqrt(8x+49))/4

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inverse of f(x)=2x^2-13x+15

inverse

f (x) = 2 x^{2} - 13 x + 15

\frac{13 + 8 x + 49}{4}, \frac{13 - 8 x + 49}{4}

Solution steps

y = 2 x^{2} - 13 x + 15

Replace

x

with

y

x = 2 y^{2} - 13 y + 15

Solve for

y, x = 2 y^{2} - 13 y + 15

\frac{13 + 8 x + 49}{4}, \frac{13 - 8 x + 49}{4}

f (x) = \frac{4 x - 5}{3 x - 1}

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

f (x) = 4 x - 3 y = - 6

sec (2 x)

8 sinh (2 t)

What is the inverse of f(x)=2x^2-13x+15 ?
The inverse of f(x)=2x^2-13x+15 is (13+sqrt(8x+49))/4 ,(13-sqrt(8x+49))/4