Convert these two functions?

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How to Convert these two functions?

Guest Dec 7, 2017

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Best Answer

1.	f(x) = 2^{(x - 1)}	Using the rule \(\frac{x^a}{x^b}=x^{a-b}\) , we have
	f(x) = \(\frac{2^x}{2^1}\)
	f(x) = \(\frac{2^x}{2}\)
	f(x) = \(\frac12\cdot2^x\)	Here, a = 1/2 and b = 2 .

2.	f(x) = 2^{(3x + 4)}	Using the rule x^a · x^b = x^{(a + b)} , we have
	f(x) = 2^3x · 2⁴
	f(x) = 2^3x · 16	Using the rule (x^a)^b = x^ab , we have
	f(x) = (2³)^x · 16
	f(x) = 16 · 8^x	Here, a = 16 and b = 8 .

hectictar Dec 7, 2017

hectictar · Answer 1 · 2017-12-07T04:07:29

1.	f(x) = 2^{(x - 1)}	Using the rule \(\frac{x^a}{x^b}=x^{a-b}\) , we have
	f(x) = \(\frac{2^x}{2^1}\)
	f(x) = \(\frac{2^x}{2}\)
	f(x) = \(\frac12\cdot2^x\)	Here, a = 1/2 and b = 2 .

2.	f(x) = 2^{(3x + 4)}	Using the rule x^a · x^b = x^{(a + b)} , we have
	f(x) = 2^3x · 2⁴
	f(x) = 2^3x · 16	Using the rule (x^a)^b = x^ab , we have
	f(x) = (2³)^x · 16
	f(x) = 16 · 8^x	Here, a = 16 and b = 8 .