Operations on Functions Calculator

The calculator will find the sum, difference, product, and quotient of the functions. It will also evaluate the resulting functions at the specified point if needed.

Related calculator: Composite Function Calculator

Optional.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find the sum, difference, product, and quotient of $$$f = 2 x - 1$$$ and $$$g = 3 x + 5$$$ at the point $$$3$$$.

Solution

$$$f + g = \left(2 x - 1\right) + \left(3 x + 5\right) = 5 x + 4$$$

$$$f - g = \left(2 x - 1\right) - \left(3 x + 5\right) = - x - 6$$$

$$$f\cdot g = \left(2 x - 1\right)\cdot \left(3 x + 5\right) = \left(2 x - 1\right) \left(3 x + 5\right)$$$

$$$\frac{f}{g} = \frac{\left(2 x - 1\right)}{\left(3 x + 5\right)} = \frac{2 x - 1}{3 x + 5}$$$

Answer

$$$f + g = 5 x + 4$$$A

$$$\left(f + g\right)\left(3\right) = 19$$$

$$$f - g = - x - 6$$$A

$$$\left(f - g\right)\left(3\right) = -9$$$

$$$f\cdot g = \left(2 x - 1\right) \left(3 x + 5\right)$$$A

$$$\left(f\cdot g\right)\left(3\right) = 70$$$

$$$\frac{f}{g} = \frac{2 x - 1}{3 x + 5}$$$A

$$$\left(\frac{f}{g}\right)\left(3\right) = \frac{5}{14}\approx 0.357142857142857$$$