What is the inverse of f(x)=x^2-16x+90 ?

The inverse of f(x)=x^2-16x+90 is 8+sqrt(x-26),8-sqrt(x-26)

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inverse of f(x)=x^2-16x+90

inverse

f (x) = x^{2} - 16 x + 90

8 + x - 26, 8 - x - 26

Solution steps

y = x^{2} - 16 x + 90

Replace

x

with

y

x = y^{2} - 16 y + 90

Solve for

y, x = y^{2} - 16 y + 90

8 + x - 26, 8 - x - 26

(2, - 6), (4, 8)

4 - x - x^{2} - 9

f (x) = lo g_{2 x + 3} (x^{2} + 3 x - 4)

y = \frac{( x + 3 ) ( x - 4 )}{( 3 x + 1 ) ( 2 x - 3 )}

f (x) = \frac{x ^{3} + 8}{x ^{2} + 5 x + 6}

What is the inverse of f(x)=x^2-16x+90 ?
The inverse of f(x)=x^2-16x+90 is 8+sqrt(x-26),8-sqrt(x-26)