# Algebra I: functions problems solved # Recent questions in Functions

Functions
ANSWERED ### If f$$(x) = x + 4$$ and $$\displaystyle{g{{\left({x}\right)}}}={4}{x}²$$, find $$(f + g)(x)\ and\ (f + g)(2).$$

Functions
ANSWERED ### Find a degree 3 polynomial having zeros -6, 6 and 0 and leading coefficient equal to 1

Functions
ANSWERED ### Given that $$f(x) = 3x - 7$$ and that $$(f + g)(x) = 7x + 3$$, find g(x).

Functions
ANSWERED ### Find the linear approximation of the function $$f(x)=\sqrt{1-x}$$ at $$a=0$$ and use it to approximate the numbers $$\sqrt{0.9}$$ and $$\sqrt{0.99}$$.

Functions
ANSWERED ### Find the absolute extrema of the function on the closed interval. $$y=3x^{\frac{2}{3}}-2x,[1,1]$$

Functions
ANSWERED ### Write a third-degree polynomial in standard form with roots $$x = 4$$ and $$x - 2i$$. $$\displaystyle{f{{\left({x}\right)}}}={a}{\left({x}−{4}\right)}{\left({x}−{2}{i}\right)}{\left({x}+{2}{i}\right)}$$

Functions
ANSWERED ### Find the range of the function $$f(x) =$$ $$\displaystyle {\left({x} + {4}\right)}^{{2}}+{5}$$

Functions
ANSWERED ### What is the domain of $$\displaystyle{f{{\left({x}\right)}}}={5}\frac{{x}}{{{3}-{\left(\sqrt{{x}}-{2}\right)}}}$$?

Functions
ANSWERED ### Perform the following operations with real numbers. $$9 + (-18)$$

Functions
ANSWERED ### Find the absolute maximum and absolute minimum values of f on the given interval. $$f(x)=5+54x-2x^{3}, [0,4]$$

Functions
ANSWERED ### For each of the following, find the maximum and minimum values attained by the function f along the path c(t): (a) $$f(x,y) = xy. c(t) = (cost,sint). 0 \leq t \leq 2 \pi$$

Functions
ANSWERED ### Write using function notation: The function f evaluated at 3 is negative 5: ___

Functions
ANSWERED ### Find the absolute maximum value and the absolute minimum value, if any, of the function. $$g(x)=-x^{2}+2x+6$$

Functions
ANSWERED ### Determine the absolute value of each of the following complex numbers: $$z=3+4i$$

Functions
ANSWERED ### Solve the absolute value and find intervals. $$|\frac{2}{x}-4|<3$$

Functions
ANSWERED ### Given $$\displaystyle{h}{\left({x}\right)}={2}{x}²-{4}{x}+{5}$$, find h(-4).

Functions
ANSWERED ### Degree 3; zeros: $$3,\ 4 - i$$

Functions
ANSWERED ### If f and g are both even functions, is $$f + g$$ even? If f and g are both odd functions, is$$f+g$$ odd? What if f is even and g is odd? Justify your answers.

Functions
ANSWERED ### Consider the function $$f(x)=2x^{3}+6x^{2}-90x+8, [-5,4]$$ find the absolute minimum value of this function. find the absolute maximum value of this function.
ANSWERED 