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3 years ago

If f(x) and its inverse function,f-1(x), are both plotted on the same coordinate plane, where is their point of intersection?

Mathematics

2 answers:

cluponka [151]3 years ago

4 0

Answer:

C. (2, 2)

Step-by-step explanation:

this is the correct answer on ed-genuity, hope this helps! :)

Mice21 [21]3 years ago

3 0

Consider f, such that f(x)=y, where x is in the Domain of f, and y is in the Range of f.

Let f(a)=b. So, (a, b) is in the graph of f.

The inverse function of f, $f^{-1}$ (if exists) is such that if f(x)=y, then $f^{-1}(y)=x$ .

So if (a, b) is a particular point in the graph of f, then (b, a) is a point in the graph of $f^{-1}$ .

A point where they intersect is a point where (a, b)=(b, a), that is a=b. Among our choices, only (2, 2) satisfies this condition.

Answer: (2, 2)

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Solve the following equations;- x - 9 /√x + 3 =1

fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

$\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1$

Cross multiply ,

$\sf\implies x - 9 =\sqrt{ x +3}$

Squaring both sides ,

$\sf\implies (x - 9)^2 = x + 3$

Simplify the whole square ,

$\sf\implies x^2+9^2-2.9.x = x +3 \\$

$\sf\implies x^2+81 - 18x = x -3$

Add 3 and subtract x on both sides ,

$\sf\implies x^2 -18x-x +81-3=0$

Simplify ,

$\sf\implies x^2 -19x +78=0$

Split the middle term of the quadratic equation,

$\sf\implies x^2-13x-6x+78=0$

Take out common ,

$\sf\implies x( x -13)-6(x-13)=0$

Take out ( x -13 ) as common ,

$\sf\implies ( x -13)(x-6)=0$

Equate both factors to 0 ,

$\sf\implies \boxed{\pink{\sf x = 13,6}}$

Hence the value of x is 13 or 6 .

7 0

3 years ago

You invest $1,050.00, buying stock in a company at $10.00/share. The shares increase in value by 13% the first year and decrease

allochka39001 [22]

Number of shares
1050/10=105
After one year share value
10×(1+0.13)=11.3
After the second year share value
11.3×(1−0.05)=10.735
Total
10.735×105=1,127.175

3 0

3 years ago

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Is 2x - 3 a function

maria [59]

Answer:

only if its y= 2x-3

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Graph the line with slope -3 passing through the point (5,0)

Ghella [55]