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tankabanditka [31]

3 years ago

9

Simplify the expression -2+6.45z-6+(-3.25z)

1 answer:

erik [133]3 years ago

8 0

Answer:

-8 + 3.2z

Step-by-step explanation:

when there is a "+" in front of an expression in parentheses, the expression remains the same
-2 + 6.45z - 6 - 3.25z
calculate the difference

-8 + 6.45z - 3.25z

collect like terms

-8 + 3.2z

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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

4 years ago

What is 4-9+(-6)?????????

Leviafan [203]

Answer:

it's -11

Step-by-step explanation:

hope this helped

4 0

3 years ago

Read 2 more answers

a shipping company has a rule that all packages must be rectangular prisms with a volume no more than 9 cubic feet what is the m

dalvyx [7]

Volume of rectangular prism of l•w•h
9=1.5 • 3 • X
Find X
9/1.5 = 6
6/3= 2
The height is 2 feet

4 0

3 years ago