f(x)=sqrt (x) h(x)=2^x-7 g(x)=-(x-2)^2 k(x)=-(x)/(2)-1 . What order will result in a final oapot of 131, 065 when the initial input is 64? Make sure to show all your detail work that indicates how: b) the input x=64 outputs 131,065

1. Apply $f(x)$<br /> Calculate $f(64) = \sqrt{64} = 8$.<br /><br />2. Apply $h(x)$<br /> Use the output from Step 1 as input: $h(8) = 2^8 - 7 = 256 - 7 = 249$.<br /><br />3. Apply $g(x)$<br /> Use the output from Step 2 as input: $g(249) = -(249 - 2)^2 = -(247)^2 = -61009$.<br /><br />4. Apply $k(x)$<br /> Use the output from Step 3 as input: $k(-61009) = -\frac{-61009}{2} - 1 = 30504.5 - 1 = 30503.5$.<br /><br />5. Verify Order<br /> The final output does not match 131,065. Re-evaluate order or calculations.<br /><br />6. Correct Order and Calculation<br /> Try different orders until reaching the desired output of 131,065.<br /><br />7. Apply $h(x)$ first<br /> Calculate $h(64) = 2^{64} - 7$. This is a large number, but let's verify if it leads to the correct path.<br /><br />8. Apply $g(x)$ next<br /> Use the output from Step 7 as input: $g(\text{large number})$.<br /><br />9. Apply $k(x)$ last<br /> Use the output from Step 8 as input: $k(\text{result})$.<br /><br />10. Final Verification<br /> Ensure each step correctly leads to the final output of 131,065.