F(x)=(x-8)/(x+7). g(x)=(-7x-8)/(x-1). Plug in g(x) into f(x), f(g(x))=[(-7x-8)/(x-1)-8]/[-7x-8)/(x-1)+7], which can be simplified as (-7x-8-8x+8)/(-7x-8+7x-7)=-15x/-15=x. Plug in f(x) into g(x), g(f(x))=[-7*(x-8)/(x+7)-8]/[(x-8)/(x+7)-1]=(-7x+56-8x-56)/(x-8-x-7)=-15x/-15=x, as desired.
Answer:
x = 5
Step-by-step explanation:
A by B is simply 
3 by x + 1 is 
5 by 2x is 
So, the equality is ;
=
Cross multiply and solve the inequality;
3(2x) = 5(x + 1)
6x = 5x + 5
6x -5x = 5
x = 5
4log(x) x + 3log(y)
The power rule of logarithms states:
log(4)^X = Xlog(4)
The product rule of logarithms states:
log(x) + log(y) = log(xy)
Rewrite each logarithm using the power rule of logarithms:
4log(x) = log(x)^4
3log(y) = log(y)^3
log(x)^4 + log(y)^3
Combine them using the product rule of logarithms:
log(x)^4 + log(y)^3 = log(x^4y^3)
Answer:
log(x^4y^3)
Answer:
She earned 11 after completing 5 chores
Step-by-step explanation:
<em>We are shown a scatter plot and the equation of best fit line. The eqaution explains the general trend of the scatterplot. Using the equation we can find the money earned for 5 chores</em>
Amount of money earned, y = 2x + 1 ---(1)
Chores Completed, x = 5
put x = 5 in eq(1)
y = 2(5) + 1
y = 11
