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2 years ago

11

14. United Bank charges a $7.50 service fee and $0.10 for each check written over 15 (the first 15

1 answer:

lukranit [14]2 years ago

7 0

Equation:

7.50 + 5(.10)

Answer:
$8

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A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

$g(x) = \frac{2x+1}{x}$

A.)Consider

$f(g(x))= f(\frac{2x+1}{x} )$

$f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}$

$f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}$

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

B.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

8 0

3 years ago

2 Select the correct answer. Consider functions f and g. Which statement gives the best approximation of the solutions of the eq

kaheart [24]

Answer: are c and d

Step-by-step explanation: I think not sure.

6 0

2 years ago

Which equation is equivalent to 3 = 87 - h?

kow [346]

Answer:

h = 84

Step-by-step explanation:

3 = 87 - h

h + 3 = 87 (Add h to both sides)

h = 84 (Subtract 3 from both sides)

8 0

2 years ago

Find the equation of the line described.

Lunna [17]

Answer:

y = -1/3x + 4

Step-by-step explanation:

y = 3x +5

current slope m is 3, perpendicular is opposite inverse which is -1/3

Passing through (6,2):

y = mx + b

2 = -1/3(6) + b

2 = -2 + b

b = 4

Use the perpendicular m = -1/3 and b = 4 to form equation of line:

y = mx + b

y = -1/3x + 4

5 0

2 years ago

Read 2 more answers

NEED HELP HURRY ASAP FREE BRAINLIST

Tamiku [17]

It’s c.

5(how many tickets) x 2(cost of one ticket) equals 10. 25(total amount of money)- 10(how much money the tickets cost in total) equals 15(the entry fee)

10 (how many tickets) x 2(cost of one ticket) equals 20. 35(total amount of money)- 20(how much money the tickets cost in total) equals 15(the entry fee)

4 0

2 years ago