# 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

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

## Solution

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

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

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

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

$f + g = 5 x + 4$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

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