What is the inverse of f(x)= 1/4 [-2(x+3)]+5 ?

The inverse of f(x)= 1/4 [-2(x+3)]+5 is -2x+7

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inverse of f(x)= 1/4 [-2(x+3)]+5

inverse

f (x) = \frac{1}{4} [- 2 (x + 3)] + 5

- 2 x + 7

Solution steps

y = \frac{1}{4} [- 2 (x + 3)] + 5

Replace

x

with

y

x = \frac{1}{4} [- 2 (y + 3)] + 5

Solve for

y, x = \frac{1}{4} [- 2 (y + 3)] + 5

- 2 x + 7

f (x) = \frac{x - 1}{2 x - 6}

y = 21 cos (2 x)

f (x) = 19 x - 46

y = ln (3 x + 1) - 5

What is the inverse of f(x)= 1/4 [-2(x+3)]+5 ?
The inverse of f(x)= 1/4 [-2(x+3)]+5 is -2x+7