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dalvyx [7]
3 years ago
7

Given the g(x)=f(x)+k ,identify a k that transforms f into g

Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0

Answer:

k = 7

Step-by-step explanation:

Given

g(x) = f(x) + k

Required

The value of k

From the attached graph, line f(x) is shifted up 7 times to match g(x).

This implies that:

g(x) = f(x) + 7

Compare: g(x) = f(x) + k and g(x) = f(x) + 7

k = 7

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I assume the equation is supposed to be

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Take the logarithm of base 3/8 on both sides:

\log_{3/8}\left(\dfrac38\right)^x=\log_{3/8}\dfrac1{72}

\implies x\log_{3/8}\dfrac38=-\log_{3/8}72

\implies x=-\log_{3/8}72

- - -

If the equation is actually 3^x+2=8^x-1, I'm afraid it cannot be solved exactly.

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