What is the inverse of f(x)=1.4(x-7.1)^2+2.45 ?

The inverse of f(x)=1.4(x-7.1)^2+2.45 is 0.18898…sqrt(20x-49)+7.1,-0.18898…sqrt(20x-49)+7.1

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inverse of f(x)=1.4(x-7.1)^2+2.45

inverse

f (x) = 1.4 (x - 7.1)^{2} + 2.45

0.18898 \dots 20 x - 49 + 7.1, - 0.18898 \dots 20 x - 49 + 7.1

Solution steps

y = 1.4 (x - 7.1)^{2} + 2.45

Replace

x

with

y

x = 1.4 (y - 7.1)^{2} + 2.45

Solve for

y, x = 1.4 (y - 7.1)^{2} + 2.45

0.18898 \dots 20 x - 49 + 7.1, - 0.18898 \dots 20 x - 49 + 7.1

y = (x - 3)^{2} + 7

f (x) = 2 x^{2} + 12 x + 11

f (x) = 2000 + 10 x

f (x) = (x - 3) 3 + 2

f (x) = (x + 3) 2

What is the inverse of f(x)=1.4(x-7.1)^2+2.45 ?
The inverse of f(x)=1.4(x-7.1)^2+2.45 is 0.18898…sqrt(20x-49)+7.1,-0.18898…sqrt(20x-49)+7.1