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laiz [17]
3 years ago
9

Which statement correctly compares the graph of function g with the graph of function ?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0

Answer:

graph of function g with the graph of function ?

f(x) = e^x - 4

g(x) = ½e^x - 4

A. The graph of function gis a vertical compression of the graph of function f.

B. The graph of function gis a vertical stretch of the graph of function f.

C. The graph of function

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In the polynomial g(x) defined, c is a constant. If g(x) is divisible by x, what is the value of c? g(x) = 2(x2 + 14x + 7) − 7(x
pshichka [43]

Answer:

c=2

Step-by-step explanation:

Step 1

The first step is to simplify expand the the equation and collect like terms. This calculation is shown below,

g(x)=2\bigl(x^2+14x+7\bigr)-7(x+c)\\g(x)=2x^2+28x+14-7x-7c\\g(x)=2x^2+21x+14-7c\\g(x)=x(2x+21)+7(2-c).

Step 2

The second step is to realize that that x woll divide g only if the constant term is 0.

7(2-c)=0\\\implies 2-c=0\\\implies 2=c.

The value of c is 2


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