Consider a linear function f(x) = mx + b (where the slope is not 0).
What is f-1(x)?
Use this formula to find the inverse of
h(x) = 2x - 9.

Answers:

and

See note below

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Explanation:

First we replace f(x) with y. Then we swap x and y. Afterward, solve for y to determine the inverse function. The m value cannot be zero to avoid dividing by zero.

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For the formula h(x) = 2x-9, we see that m = 2 and b = -9

So the inverse for h(x) would be:

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Note: The function is the same as saying or , so it will depend on what format your teacher wants.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d