3 years ago

Inverse Rational Function: g(x)=6x-1/4x+7

Mathematics

1 answer:

navik [9.2K]3 years ago

3 0

9514 1404 393

Answer:

g^-1(x) = (7x+1)/(6 -4x)

Step-by-step explanation:

Substitute y for x and solve for y.

g(y) = x

(6y -1)/(4y +7) = x

6y -1 = x(4y +7) . . . . multiply by 4y+7

6y -4xy = 7x +1 . . . . add 1-4xy

y(6 -4x) = 7x +1 . . . . factor out y

y = (7x +1)/(6 -4x) . . . divide by the coefficient of x

$\boxed{g^{-1}(x)=\dfrac{7x+1}{6-4x}}$

You might be interested in

Escribe una ecuación para una linea que pase por los puntos (3,5) y (6,3). Responder con trabajo de apoyo

Blababa [14]

Answer:

y = - $\frac{2}{3}$ x + 7

Step-by-step explanation:

Ambos puntos (3, 5) y (6, 3) están en esta línea.

8 0

3 years ago

Natalie added 20 pieces of candy to a bowl. Two days later, half the candy in the bowl is gone. If there are 14 pieces left in t

irina [24]

Answer:

Step-by-step explanation:

if 14 was left after half was gone then there was 28 before half was tooken out. subtract 20 from 28 to find out how much was in the bowl first.

8 0

3 years ago

Read 2 more answers

Based on a smartphone survey, assume that 58% of adults with smartphones use them in theaters. In a separate survey of 225 adu

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Solve this equation. (1/2)^x-3= 16^3x-1

Vesna [10]

This question is unsolvable this might be a trick question but it is not solvable. Hope this helps! ;D

4 0

4 years ago

Can someone solve 6 and 7 for me I will mark you the brainly pls help I will really appreciate

lidiya [134]

Answer:

6) x = 36°, y = 18°

7) z = 7°

Step-by-step explanation:

6) 2x + 3x = 180°

5x = 180°

x = 36°

4y = 2x = 72°

y = 18°

7) 2z + 4 = 4z - 10

2z = 14

z = 7

5 0

3 years ago