\( \log _{7} 10 \approx 1.183 \) and \( \log _{7} 20 \approx 1.540 \), what is \( \log _{7}(10 \cdot 20) \) ? Use the Product Rule of Logarithms to solve. (1 po. 0.357 2.723 1.822 1.302 Check answer Remaining Attempts : 3

QUESTION 7 Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) : \( 7.1 \quad \) Write the equations of the asymptotes of \( k \).

Determina il dominio D e la funzione inversa nell'intervallo \( (3,+\infty) \) della funzione: \( \quad y=\ln \left(\frac{3 x^{2}}{x^{2}-9}\right) \)

Which graph best represents \( y=5\left(\frac{1}{3}\right)^{x} \)

Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) : 7.1 Write the equations of the asymptotes of \( k \). 7.2 Give the range of \( k \). 7.3 Give the domain of \( k \). 7.4 Drite the equation of the axis of symmetry, with a positive gradient. 7.5 If \( k \) is reflected over the \( x \)-axis and shifted upwards by 2 units, 7.6 give the equation of the new function, \( j(x) \), after the transformations. 7.7 In which quadrant(s) would the arms of \( k \) not be if it was sketched?

If \( (-1,8) \) is a point on the graph of \( y=f(x) \), which of the following must be on the graph of \( y=f(-x) \) ? \( (8,1) \) \( (-1,-8) \) Choose the correct answer below. \( (1,8) \) \( (-8,-1) \)