What is the inverse of f(x)=2.1784x+25.2 ?

The inverse of f(x)=2.1784x+25.2 is (x-25.2)/(2.1784)

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inverse of f(x)=2.1784x+25.2

inverse

f (x) = 2.1784 x + 25.2

\frac{x - 25.2}{2.1784}

Solution steps

y = 2.1784 x + 25.2

Replace

x

with

y

x = 2.1784 y + 25.2

Solve for

y, x = 2.1784 y + 25.2

\frac{x - 25.2}{2.1784}

f (x) = 500 (\frac{1}{2})^{\frac{x}{272}}

f (x) = 0.5 + (\frac{5}{0.2 x})

2^{x - 2}

f (x) = - (x - 2)^{2} - 3

What is the inverse of f(x)=2.1784x+25.2 ?
The inverse of f(x)=2.1784x+25.2 is (x-25.2)/(2.1784)