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2 years ago

G(x)=(5-x)/(2x-1) f(x)= (x+5)/(2x+1) what is g(f(x))

1 answer:

3 0

$\bf \begin{cases}
g(x)=\cfrac{5-x}{2x-1}\\\\
f(x)=\cfrac{x+5}{2x+1}
\end{cases}\qquad g(~~f(x)~~)=\cfrac{5-f(x)}{2[f(x)]+1}
\\\\\\
g(~~f(x)~~)=\cfrac{5-\left(\frac{x+5}{2x+1} \right)}{2\left(\frac{x+5}{2x+1} \right)-1}\implies g(~~f(x)~~)=\cfrac{\frac{5(2x+1)-(x+5)}{2x+1}}{\frac{2x+10}{2x+1}-1}$

$\bf g(~~f(x)~~)=\cfrac{\frac{10x+5-x-5}{2x+1}}{\frac{2x+10-1(2x+1)}{2x+1}}\implies 
g(~~f(x)~~)=\cfrac{\frac{9x}{2x+1}}{\frac{2x+10-2x-1}{2x+1}}
\\\\\\
g(~~f(x)~~)=\cfrac{\frac{9x}{2x+1}}{\frac{9}{2x+1}}\implies g(~~f(x)~~)=\cfrac{\underline{9} x}{\underline{2x+1}}\cdot \cfrac{\underline{2x+1}}{\underline{9}}
\\\\\\
g(~~f(x)~~)=x$

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2 years ago

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2 years ago

In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35. The followi

Naddika [18.5K]

Answer:

112

Step-by-step explanation:

Given that in a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35.

Age 18: average score = 100, SD = 15

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Let us obtain regression equation of y on x.

Let y be the scores at age 35 and x at age 18

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3 years ago

What is the equation of a line with a slope of −4−4 and a point (−2,5)

Darya [45]

Here, we can formulate the slope-intercept equation from the point and the slope:

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By point-slope form:

(y-y1) = m (x - x1)
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y-5 = x +2

Simplifying to slope-intercept form:

y = x + 7

Therefore, the slope-intercept form would be y = x+7

I hope my answer has come to your help. God bless and have a nice day ahead!

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2 years ago

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Liula [17]

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<h3>What is the Chi-squared test? </h3>

A statistical technique called the chi-square test is used to compare actual outcomes with predictions.

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To learn more about the Chi-squared test refer;

brainly.com/question/14082240

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1 year ago