The y-intercept of (g/f)(x) is 2
Given the functions
First, we need to get the composite function g/f((x)
(g/f)(x) =
The y - intercept of the function occurs at when x = 0
Substitute x = 0 into the resulting expression:
Hence the y-intercept of (g/f)(x) is 2
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Answer:
y = 2x+1
Step-by-step explanation:
From the question,
Using the equation of a straight line
y = mx+c................. Equation 1
Where m = slope of the line, c = intercept on the y axis.
From the graph, The two point co-ordinate shown os
Point 1 = (-2,0)
Point 2 =(6,4)
s = (y₂-y₁)/(x₂-x₁).............. Equation 2
Where y₂ = 6, y₁ = -2, x₂ = 4, x₁ = 0
Substitute into equation 2
s = (6-(-2))/(4-0)
s = (6+2)/4
s = 8/4
s = 2.
Also from the graph,
c = 1
Substitute these values into equation 1
y = 2x+1
Hence the equation of the line is y = 2x+1
Answer:
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Step-by-step explanation:
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Close rectangular box has three couples of identical parallel faces.
there are two faces 6''×5'',
two faces 6''×3''
and two faces 5''×3''
So, the area of the box would be the total of the areas of the faces:
A = 2· 6·5 + 2· 6·3 + 2· 5·3 = 2·30 + 2·18 + 2·15 = 60 + 36 + 30 = 126 [square inches]