The correct answer is: 3) " x ; 1/2" .
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Explanation:
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Question 1)
g [ f(x) ] = ? ;
→ Given: " f(x) = 1/3 x " ;
→ Given: " g(x) = 3x " ;
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g [ f(x) ] = g(1/3 x) = 3(1/3 x) = 1x = "x" .
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Question 2)
g [ f(1/2) ] = ? ;
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→ Given: " f(x) = 1/3 x " ;
→ f(1/2) = (1/3) * (1/2) = (1*1) / (3*2) = (1/6) ;
→ g [ f(x) ] =
g(1/6) = 3* (1/6) = (3/1) * (1/6) = (3*1) / (1*6) = 3/6 = (3÷3) / (6÷3) = " 1/2 " .
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The table and the graph is shown in the following picture
Answer:1/2b^2
Step-by-step explanation: The square is b^2?
Answer:
Equation of line in slope-intercept form is: y = -8x-39
Step-by-step explanation:
Given points are:
(-4, -7) and (-6, 9)
The slope-intercept form is given by the equation

Here m is the slope of the line and b is the y-intercept.
m is found using the formula

Here
(x1,y1) = (-4-7)
(x2,y2) = (-6,9)
Putting the values in the formula

Putting slope in general equation

Putting (-6,9) in the equation

Putting the value of b we get

Hence,
Equation of line in slope-intercept form is: y = -8x-39