What is the inverse of f(x)=(4+0.25x)(100-5x) ?

The inverse of f(x)=(4+0.25x)(100-5x) is -(-5+sqrt(-5x+2025))/(2.5),-(-5-sqrt(-5x+2025))/(2.5)

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inverse of f(x)=(4+0.25x)(100-5x)

inverse

f (x) = (4 + 0.25 x) (100 - 5 x)

- \frac{- 5 + - 5 x + 2025}{2.5}, - \frac{- 5 - - 5 x + 2025}{2.5}

Solution steps

y = (4 + 0.25 x) (100 - 5 x)

Replace

x

with

y

x = (4 + 0.25 y) (100 - 5 y)

Solve for

y, x = (4 + 0.25 y) (100 - 5 y)

- \frac{- 5 + - 5 x + 2025}{2.5}, - \frac{- 5 - - 5 x + 2025}{2.5}

f (x) = - 9 (\frac{1}{9})^{x} + 1

lo g_{10} (2 x + 6)

f (x) = ln (3 - 4 x)

f (x) = 9 x^{2} - 7

f (x) = 9 x^{2} - 8

What is the inverse of f(x)=(4+0.25x)(100-5x) ?
The inverse of f(x)=(4+0.25x)(100-5x) is -(-5+sqrt(-5x+2025))/(2.5),-(-5-sqrt(-5x+2025))/(2.5)