find the inverse of g(x)=5x-8?

Question

answers:
g^-1(x)=(x+8/5)
g^-1(x)=(x+5/8)
g^-1(x)=x+8
g^-1(x)=x+(8/5)

Answer 1

y=5x-8

Reverse the x and y

x=5y-8

Solve for y

x+8= 5y

(x+8)/5 = y (which also equals:``` (x/5) + (8/5) = y = g^-1(x)

Answer 2

If y = g(x) = 5x-8, then
x= (y+8)/5
So g^-1(x) = (y+8)/5
This is not one of the answers, but it is the correct way to find the inverse of a function.

Some of the most important inverse functions are y=x^2 and x=sqrt(y), y = sin x and x = arcsin x, and y= a^x and x = log_a y.

Answer 3

find the inverse means "solve for x"
y = g(x) (substitute)

y=5x-8
y+8 = 5x
x = (1/5)y + 8/5

now x = g^(-1)(x) and y becomes "x"
g^-1(x) = (x+8)/5

Answer 4

(x+8)/ 5 is the inverse !

Answer 5

Let g(x) = Y

So Y = 5x - 8

Solve for x...

Y + 8 = 5x

X = (Y+8)/5

Finally substitute all Y's for x's...

So the inverse is...

g^-1(x) = (x+8)/5

The first one.

Answer 6

g(x)=5x-8
y = 5x - 8
swap x and y
x =5y - 8
Solve y
y = (x + 8)/5 this is the inverse function
None of the given 'answers' is right.

Th