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3 years ago

-1/2=4/x-2 help answer and explanation

1 answer:

6 0

- $\frac{1}{2}$ = $\frac{4}{x}$ -2
2+- $\frac{1}{2}$ = 4/x
2+- $\frac{1}{2}$ = 1 $\frac{1}{2}$
1 $\frac{1}{2}$ = 4/2.7
x=2.7

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Which pair of funtions is not a pair of inverse functions? please help!!

antiseptic1488 [7]

Answer:

$f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Step-by-step explanation:

we know that

To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.

we will proceed to verify each case to determine the solution of the problem

case A) $f(x)=\frac{x+1}{6} , g(x)=6x-1$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y+1}{6}$

Isolate the variable y

$6x=y+1$

$y=6x-1$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=6x-1$

therefore

f(x) and g(x) are inverse functions

case B) $f(x)=\frac{x-4}{19} , g(x)=19x+4$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y-4}{19}$

Isolate the variable y

$19x=y-4$

$y=19x+4$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=19x+4$

therefore

f(x) and g(x) are inverse functions

case C) $f(x)=x^{5}, g(x)=\sqrt[5]{x}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=y^{5}$

Isolate the variable y

fifth root both members

$y=\sqrt[5]{x}$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=\sqrt[5]{x}$

therefore

f(x) and g(x) are inverse functions

case D) $f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y}{y+20}$

Isolate the variable y

$x(y+20)=y$

$xy+20x=y$

$y-xy=20x$

$y(1-x)=20x$

$y=20x/(1-x)$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=20x/(1-x)$

$\frac{20x}{1-x}\neq \frac{20x}{x-1}$

therefore

f(x) and g(x) is not a pair of inverse functions

7 0

3 years ago

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Find g(x)-f(x) if f(x)=-3+4 and g(x)=5x-12

Verizon [17]

Answer: g(x)-f(x)=8x-16

Explanation:

f(x)=-3x+4 (I am assuming "-3+4" is a typo and it is "-3x+4")

g(x)=5x-12

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harkovskaia [24]

I hope this helps!! Don’t mind the 20 mph at the top. That was from another problem I was helping someone else on.

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andrezito [222]

Answer:

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Step-by-step explanation:

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3 years ago

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Ber [7]

Answer:

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Step-by-step explanation:

The formula for circumference is

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5 pi = 2 * pi *r

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5 pi/pi = 2 * pi *r/pi

5 = 2r

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5/2 = 2r/2

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The area is given by

A = pi * r^2

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3 years ago

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