Which function has an inverse that is also a function? Please help ASAP

Mathematics

1 answer:

Shalnov [3]3 years ago

4 0

Answer is A.
g(x)=2x-3, this is one to one function , so inverse is going to be a function also.

B. Inverse is not going to be a function, because k(x)= - 9x² has x², so for inverse for every value of x will be two value of y.

C. For f(x)=|x+2| inverse will not be a function, because of absolute value, for inverse for every value of x will be two value of y.

D. w(x) = - 20 is a horizontal line. Inverse is going to be vertical line, for one value of x will be infinite values of y. So it is not going to be a function.

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The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The diff

jeka94

Answer:

Step-by-step explanation:

A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:

x ≥ 2y . . . . . pumpkin acres are at least twice corn acres

x - y ≤ 10 . . . . the difference in acreage will not exceed 10

12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18

0 ≤ y . . . . . the number of corn acres is non-negative

B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...

P = 360x +225y

C) see below for a graph

D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.

So profit is maximized for 18 acres of pumpkins and 9 acres of corn.

Maximum profit is $360·18 +$225·9 = $8505.