evaluate the function f(r)= sqrt25-r-6 at the given values of independent variables f(16), f(-x), f(25-2x) and simplify
I suspect that you are missing brackets.
Is it
√25 - r - 6 , (the way you typed it) or
√(25-r) - 6 or
√(25-r-6) ????
To evaluate the function f(r) = sqrt(25 - r - 6) at the given values, we substitute the values of the independent variable into the function and simplify the expression.
1. Evaluating f(16):
Substitute r = 16 into the function:
f(16) = sqrt(25 - 16 - 6)
= sqrt(3)
= √3 (exact value)
2. Evaluating f(-x):
Substitute r = -x into the function:
f(-x) = sqrt(25 - (-x) - 6)
= sqrt(31 + x)
= √(31 + x) (exact value)
3. Evaluating f(25-2x):
Substitute r = 25 - 2x into the function:
f(25-2x) = sqrt(25 - (25 - 2x) - 6)
= sqrt(2x - 6)
= √(2x - 6) (exact value)
Therefore, after evaluating the function at the given values, we have the following simplifications:
f(16) = √3 (exact value)
f(-x) = √(31 + x) (exact value)
f(25-2x) = √(2x - 6) (exact value)