Question

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What is the inverse of function f?

f(x)=-7x-4

Answer 1

The inverse is -1/7(x+4)

Explanation:

We have the function

y = -7x-4

To find the inverse, exchange x and y

x = -7y -4

Solve for y

Add 4 to each side

x+4 = -7y -4+4

x+4 = -7y

Divide each side by -7

-1/7(x+4) = -7y/-7

-1/7(x+4) = y

The inverse is -1/7(x+4)