# How do you find the domain and range of #f(x)= (3x-4) / (1+2x)#?

Domain is any real value except

Range (values of f(x)) is any real value. graph{(3x-4)/(1+2x) [-40, 40, -20, 20]} [Ans]

By signing up, you agree to our Terms of Service and Privacy Policy

To find the domain of ( f(x) = \frac{3x - 4}{1 + 2x} ), we need to identify any values of ( x ) that would result in division by zero. Thus, the domain is all real numbers except the value that would make the denominator zero. So, the domain is all real numbers except ( x = -\frac{1}{2} ).

To find the range, we consider what values ( f(x) ) can take on. As ( x ) approaches positive or negative infinity, ( f(x) ) approaches a constant value. Therefore, the range of ( f(x) ) is all real numbers except the value that corresponds to the horizontal asymptote. Thus, the range is all real numbers except ( y = 3 ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- The value of a share of stock decreases in value at a rate of $1.20 hour during the first 3.5 hours of trading. How do you write and solve an equation to find the decrease in the value of the share of stock during that time?
- How do you evaluate the expression #(y-6)/(x-9)# when x=-3 and y=-2?
- How do you find the value of #-2-8#?
- If a pipe can fill a tank in x hours, what fractional part of the tank will be filled in one hour?
- How do you find #(fog)(x)# given #f(x)=-9x+3# and #g(x)=x^4#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7