Which functions are equivalent to f (x) = rootindex 4 startroot 162 endroot superscript x? check all that apply.
Which Functions Are Equivalent To F (X) = Rootindex 4 Startroot 162 Endroot Superscript X? Check All That Apply.
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Which Functions Are Equivalent To F (X) = Rootindex 4 Startroot 162 Endroot Superscript X? Check All That Apply.. This is equivalent to the second option:. ⁿ√aˣ = aˣ/ⁿ (aˣ)ⁿ = aⁿˣ.
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This can be written as; F(x) = ⁴√162ˣ = 162ˣ/⁴. ⁿ√aˣ = aˣ/ⁿ (aˣ)ⁿ = aⁿˣ.
This Is Equivalent To The Second Option:.
Therefore, none of the choices. F (x) = rootindex 4 startroot 162 endroot superscript x. We cannot get the expression f x = 162 4 x from the given value f x = 162 4 x hence, option (d) is incorrect.
Subtract The Exponents Of Y:
ⁿ√aˣ = aˣ/ⁿ (aˣ)ⁿ = aⁿˣ. Which functions are equivalent to f (x)=∜162^x? How are the functions f (x)=16^x and g (x)=16^1/2x related?
Using The Property Of Indices;
Subtract the exponents of x: The output values of g (x) are the square. Which expression is equivalent to rootindex 4 startroot startfraction 16 x superscript 11 baseline y superscript 8 baseline over 81 x superscript 7 baseline y.
When You Have A Root, That Is, To Write It As An Exponent Is.
This can be written as; F(x) = ⁴√162ˣ = 162ˣ/⁴. So, the final simplified expression is:
Click Here 👆 To Get An Answer To Your Question ️ Which Functions Are Equivalent To F(X)=Sqrt [4](162)^, ?
Therefore, the correct answers are option (a), option (b), and option (e). None of the options provided (a, b, c, d, or e) are equivalent to the function f (x) = 4 162 , as all involve the variable x while the original function is a constant. In this particular problem, you're trying to find the equivalent answers to 4 through to 162 raise to the x power.