Hriday T. answered • 01/30/21
Algebra and Pre-Calculus Tutor Specializing in Student Success
Ok, so reciprocals in mathematical terms are sets of values that when multiplied by each other equal 1.0, this is usually done by flipping the numerator and the denominator of one value in the set to get the other value. Similarly, reciprocal functions are functions whihc instead of being a polynomial divided by a constant, are a constant divided by a polynomial. For example, for question a, the reciproal to the base function would be 1/(sqrt(3x-6) +4) x>2, notice x must be greater than 2 becuase the square root function must have a positive number, for qeustion B we use much the same approach flipping the function so we get 7/(x-3) notice, that x cannot = 3 it is impossible to divide by 0, and for part c we see that while x could not equal (-5)/3 becuase that would result in the denominator being zero when evaluated, in the new function, the flipped one, x cannot equal 3/2 because then the new denominator of the reciprocal function, (3x+5)/(2x-3), is equal to 0 and we cannot divide a anything by zero
Delena T.
And then I have to put f^-1(x)= in front of all the equations, right?01/30/21
Delena T.
thank you very much, sir!01/30/21