Questions in mathematics

Questions in mathematics

[Free] The domain of [tex]$f(x)$[/tex] is the set of all real values except 7, and the domain of [tex]$g(x)$[/tex] is the set of all real values except -3. Which of the following describes the domain of [tex]$(g \circ f)(x)$[/tex]? A. all real values except [tex]$x \neq-3$[/tex] and the [tex]$x[/tex] for which [tex]$f(x) \neq 7$[/tex] B. all real values except [tex]$x \neq-3$[/tex] and the [tex]$x[/tex] for which [tex]$f(x) \neq-3$[/tex] C. all real values except [tex]$x \neq 7$[/tex] and the [tex]$x[/tex] for which [tex]$f(x) \neq 7$[/tex] D. all real values except [tex]$x \neq 7$[/tex] and the [tex]$x[/tex] for which [tex]$f(x) \neq-3[/tex]

[Free] $8+x \sqrt{12}=\frac{8 x}{\sqrt{3}}$

[Free] BGA and BFC are straight lines. EFG and DCA are parallel lines. Show that triangle ABC is isosceles. Give a reason for each stage of your working. A Angle BAC 48 because corresponding angles are equal 180-114-66 because angles on a straight line add to 180° GAC = 48 because corresponding angles are equal = GFC 114 because vertically opposite angles are equal FCA = 66° because co-interior angles add up to 180° Therefore, ABC is an isosceles triangle B G/48 114 F E C D

[Free] Given that [tex]$\operatorname{Tan} y=\frac{1}{\sqrt{2}}$[/tex], find the value of [tex]$\sin y+\frac{1}{\cos y}$[/tex] such that [tex]$0 < y < 90^{\circ}$[/tex].

[Free] Simplify the following expression. $(2 x-3)\left(5 x^4-7 x^3+6 x^2-9\right)$

[Free] A right triangle has legs with lengths of $10, 2 \sqrt{35}$, and $2 \sqrt{d}$. If $d<35$, what is the value of $d$?

[Free] Solve the system of linear equations by graphing. [tex] \begin{array}{l} y=-\frac{1}{2} x+3 \ y=\frac{1}{2} x-2 \end{array} [/tex]

[Free] Select the correct answer. Solve the exponential equation for $x$. $256=\left(\frac{1}{4}\right)^{3 x+2}$ A. $x=2$ B. $x=-4$ C. $x=4$ D. $x=-2$

[Free] Begin by writing [tex]$\tan (u+v)$[/tex] using [tex]$\sin (u+v)$[/tex] and [tex]$\cos (u+v)$[/tex]. [tex]$\tan (u+v)=\frac{\sin (u+v)}{\cos (u+v)}$[/tex] Rewrite the right side using sum identities. [tex]$\tan (u+v)=\frac{\tan (u)+\tan (v)}{1-\tan (u) \tan (v)}$[/tex]

[Free] What conversion factors are used in the Currency Calamity activity?