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erastova [34]
3 years ago
8

If f(x) and f -1 (x) are inverse functions of each other and f(x) = 2x+5, what is f -1 (8)?

Mathematics
1 answer:
Aleksandr [31]3 years ago
5 0

Answer: 3/2

Step-by-step explanation:

The first one: y=2x+5

X=2y+5.Then solve for y after switching x and y

X-5=2y, X-5/2=y

Since F-1= X-5/ 2, we plug the value of X in

8-5/2, so it should be 3/2

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10

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For 20% out of 100% it would be 1/5 as you need 5 20s for 100
6 0
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Please help!! thank you.
Zina [86]

(A) Product of -2x^{3}+x-5 and x^{3}-3x-4 is:

(-2x^{3}+x-5)(x^{3}-3x-4)

=-2x^{3}(x^{3}-3x-4)+x(x^{3}-3x-4)-5(x^{3}-3x-4)

=(-2x^{3})(x^{3})+(-2x^{3})(-3x)+(-2x^{3})(-4)+x(x^{3})+(x)(-3x)+(x)(-4)+(-5)(x^{3})+(-5)(-3x)+(-5)(-4)

=-2x^{6}+6x^{4}+8x^{3}+x^{4}-3x^{2}-4x-5x^{3}+15x+20

=-2x^{6}+6x^{4}+x^{4}+ 8x^{3}-5x^{3}-3x^{2}-4x+15x+20

=-2x^{6}+7x^{4}+3x^{3}-3x^{2}+11x+20

(B) Yes.

Product of -2x^{3}+x-5 and x^{3}-3x-4 = Product of x^{3}-3x-4 and -2x^{3}+x-5 because multiplication is commutative.

Commutative Property of multiplication says that a.b = b.a.

Thus, multiplication is same irrespective of the order of two numbers.



5 0
4 years ago
In which interval is the graph constant?
SOVA2 [1]

Answer:

It is constant from point C to point D.

Step-by-step explanation:


7 0
3 years ago
What is the perimeter of the triangle in units of the triangle formed by the points (-3,1), (-3,5), and (4,1)?
ira [324]

let's say

A(-3,1) B(-3,5) C(4,1)

we need to find the perimeter of ABC for that we find each of the sides

AB BC and AC

there is a formula to find the distance between 2 poins

let's say that a point has the structure A(x1,y1) where x=-3 and y=1 and B(x2,y2) where x2=-3 and y2=5

AB=\sqrt{(x2-x1)^2+(y2-y1)^2}

AB=\sqrt{(-3+3)^2+(5-1)^2}

AB=\sqrt{0^2+4^2}

AB=4

we do the same thing for AC and BC

AC=\sqrt{(4+3)^2+(1-1)^2}

AC=\sqrt{7^2+0^2}

AC=7

BC=\sqrt{(4+3)^2+(1-5)^2}

BC=\sqrt{7^2+(-4)^2}

BC=\sqrt{49+16}

BC=\sqrt{65}

The perimeter is equal to the sum of the sides

P=AB+AC+BC=4+7+\sqrt{65}=11+\sqrt{65}

8 0
3 years ago
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