Find the inverse of the given function

f^-1(x) = 4x^2 -3 . . . . x ≤ 0

Step-by-step explanation:

Interchange x and y, then solve for y.

x = -1/2√(y+3)

-2x = √(y +3)

4x^2 = y +3

4x^2 -3 = y

Note that the range of the function f(x) is f(x) ≤ 0, so this will be the domain of the inverse function. Then the inverse function is ...

f^-1(x) = 4x^2 -3 . . . . for x ≤ 0

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The attached graph shows this inverse function is a reflection of the function across the line y=x, as it should be.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: