To find the inverse ( g(x) ) of the relation ( f(x) ) given by the pairs (8, 3), (4, 1), (0, -1), and (-4, -3), you need to switch the x and y values in each pair. Thus, the inverse relation ( g(x) ) will be (3, 8), (1, 4), (-1, 0), and (-3, -4). Therefore, ( g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)} ).
The distance is 6.4 units.
To determine the original exponential forms that simplify to 64, we can express 64 as a power of 4, which is (4^3) (since (4 \times 4 \times 4 = 64)). This means ( (4^{-4})^3 ) simplifies to ( \frac{1}{4^{12}} ), which does not equal 64. The original forms that could yield 64 when simplified are ( 4^3 ) and ( 2^6 ) (since (2^6 = 64)). Therefore, the correct options are ( 2^6 ) and ( 4^3 ).
The distance is 6.4 units.
To determine the original exponential forms that simplify to 64, we can express 64 as a power of 4, which is (4^3) (since (4 \times 4 \times 4 = 64)). This means ( (4^{-4})^3 ) simplifies to ( \frac{1}{4^{12}} ), which does not equal 64. The original forms that could yield 64 when simplified are ( 4^3 ) and ( 2^6 ) (since (2^6 = 64)). Therefore, the correct options are ( 2^6 ) and ( 4^3 ).