The answer for this multiple choice is D
In the case of exponential functions, the graph is shifted when a constant is added to the exponent of the constant. The original equation, f(x) is:
f(x) = (1/2)ˣ
Now, when horizontal shifting is occurring, the equation is:
y = Cˣ⁺ᵃ
If a is positive, the graph shifts to the lefts and the shift is equal to a units. If a is negative, the graph shifts to the right and the shift is equal to a units. Therefore, to shift the graph 3 units to the left:
g(x) = (1/2)⁽ˣ⁺³⁾
The correct answer is B.
<em>Answer:</em>
<em>we have
</em>
<em>
256^{\frac{3}{4}}
</em>
<em>
we know that
</em>
<em>
256=2^{8}
</em>
<em>
substitute
</em>
<em>
256^{\frac{3}{4}}=(2^{8})^{\frac{3}{4}}=2^{\frac{24}{4}}=2^{6}=64
</em>
<em>
therefore
</em>
<em>
the answer is the option
</em>
<em>
64</em>
<em>this is what i found </em>
X= 12
Please let me know if I need to explain it
