The two possible inputs of the function machine when the output is 54 are x1 ≈ 7.25 and x2 ≈ 7.25.
To find the two possible inputs of the function machine when the output is 54, we can use the given information that the function machine is represented by the expression f(x) = x² + 9. We need to solve the equation f(x) = 54 to find the x-values corresponding to the output 54.
1. Solve the equation f(x) = 54:
x²+9=54
2. Take the square root of both sides of the equation to isolate x:
+√54+9 63
3. Calculate the two possible values of x:
X1 √63 ≈ 7.25
X2 √63 ≈ -7.25
Therefore, the two possible inputs of the function machine when the output is 54 are x1 ≈ 7.25 and x2 ≈ 7.25.
Complete question:
Find the two possible inputs of the function machine shown below when the output is 54.