Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. find f/g and state its domain. –4x – 2; all real numbers 5x - 6; all real numbers except x = 6/5 –4x – 2; all real numbers except x = 6/5 5x - 6; all real numbers

Solution

f(x) = -20 +14x + 12 and g(x) = 5x - 6.

(f/g)(x) =

(f/g)(x) =

Step 1: Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6                  

f(x) = -2(2x + 1) (5x - 6)

Step 2: Plug in the factors

(f/g)(x) =

Step 3: Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.

a

step-by-step explanation: