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Determine the set of x-values where f(x)=√7-10x is continuous, using interval notation.
To determine where the function f(x)=√7-10x is continuous, consider the domain of the square root function. The square root function is defined and continuous wherever its argument is non-negative. Therefore, set up the inequality 7-10x≥0 to find the values of x for which this holds true. Solve this inequality to determine the range of x values that ensure the argument inside the square root remains non-negative.
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Box 1: Enter your answer using interval notation. Example: [2,5)
Use U for union to combine intervals. Example: (-oo,2] U [4,oo)
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for an empty set. Use oo to enter Infinity.
(-∞,710]