Determine if the mean value theorem for integrals applies to the function f of x equals the square root of x minus 1 on the interval [1, 5]. if so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. yes, x equals one half. yes, x equals 4 over 3. yes, x equals 25 over 9. no, the theorem does not apply. i put b and got it wrong

The theorem does not apply.

1. Set the function f(x)=sqrt(x-1) equal to 0 to find what values of x make f(x) defined. So:

x - 1 is < or = to 0

x > or = to 0

2.) find the values where x is defined:

x - 1 > or = to 0

x > or = to 0

Domain = all values of x that define f(x)

[1,infinity)

{x|x> or = to 1}

DNE because 1 is not in the domain because (1-1)^1/2 = 0.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

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step-by-step explanation: