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alexira [117]
4 years ago
15

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.

Mathematics
2 answers:
adell [148]4 years ago
5 0

Answer:

1/2

Step-by-step explanation:

timofeeve [1]4 years ago
5 0

Answer:

k=2

Step-by-step explanation:

We are given that

Line of f(x) passes through the points (-4,0) and (0,4).

Line of g(x) pass through the points (-2,0) and (0,4).

g(x)=f(k\cdot x)

We have to determine the value of k.

f(-4)=0

g(-2)=0

slope of f(x)=m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{0+4}=1

Equation of f(x) which is passing through the point (-4,0) with slope 1

y-0=1(x+4)

By using slope-point form:y-y_1=m(x-x_1)

y=x+4

g(x)=f(kx)

Replace x by kx

Equation of g(x)

y=kx+4

Substitute x=-2

g(-2)=-2k+4

-2k+4=0

2k=4

k=\frac{4}{2}=2

Hence, the value of k=2

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1 year ago
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Answer:

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