What is the inverse of f(x)=-0.7(x^2-1.5)+0.6 ?

The inverse of f(x)=-0.7(x^2-1.5)+0.6 is sqrt(-(x-0.6)/(0.7)+1.5),-sqrt(-(x-0.6)/(0.7)+1.5)

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inverse of f(x)=-0.7(x^2-1.5)+0.6

inverse

f (x) = - 0.7 (x^{2} - 1.5) + 0.6

- \frac{x - 0.6}{0.7} + 1.5, - - \frac{x - 0.6}{0.7} + 1.5

Solution steps

y = - 0.7 (x^{2} - 1.5) + 0.6

Replace

x

with

y

x = - 0.7 (y^{2} - 1.5) + 0.6

Solve for

y, x = - 0.7 (y^{2} - 1.5) + 0.6

- \frac{x - 0.6}{0.7} + 1.5, - - \frac{x - 0.6}{0.7} + 1.5

2 - 8 x

- 4 x + 12

f (x) = 3 (5)^{2 x + 1}

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

f (x) = \frac{2}{x + 9}

What is the inverse of f(x)=-0.7(x^2-1.5)+0.6 ?
The inverse of f(x)=-0.7(x^2-1.5)+0.6 is sqrt(-(x-0.6)/(0.7)+1.5),-sqrt(-(x-0.6)/(0.7)+1.5)