Simple Algebra

f(x)= 3/4x + 12
g(x)= 4/3x - 12

Are f and g inverse functions?

No.

Step-by-step explanation:

f(x) = 3/4x + 12

g(x) = 4/3x - 12

f[g(x)] = 3/4(4/3x - 12) + 12

y = x - 3

x - 3

g[f(x)] = 4/3(3/4x + 12) -12

y = x - 4

x - 4

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.