For the given functions, f(x) = x - 7 and g(x) = 7x²

Find fg and write the domain.

Solve: fog(1/5) where f(x) = x/(x +5); g(x) = 2/x -5

Determine two functions f and g so that h(x) = (f ○ g)(x): h(x) = 1/(4x - 9)

Graph h(x) = √(- 3x + 9) as a transformation of the square root function f(x) = √3x.

Suppose f(x) = 5x - 9. If the graph of f(x) is reflected about the y-axis, then write the equation of the resulting graph.

Use the graph of the function, f(x) = x² -x for applying transformation of graphs to graph the function according to the given condition. g(x) = (x+1)² -(x+1)

Graph the function g by using the graph of y = f(x): g(x) = f(x) + 2

Consider the functions f(x) = 5x - 1 and g(x) = 4x + 6. Find the following function and determine its domain:

(f - g)(x)

Find the value of (ƒ∘g)(-1), if ƒ(x)=37x -12 and g(x)=-3x+23.

Write expression for y in terms of x: x = √(5 -y³)

Given the two functions $f$ and $g$, find $fg$ and identify the domain.

$f\left(x\right)=71x-2$, $g\left(x\right)=x+10$

Given the two functions $f$ and $g$, find $f+g$ and identify the domain.

$f\left(x\right)=11x^2-3x-7$, $g\left(x\right)=3x-4$

Given the two functions $f$ and $g$, find $\frac{f}{g}$ and identify the domain.

$f\left(x\right)=\frac{5x+2}{x^2-36},g\left(x\right)=\frac{6x-12}{x^2-36}$