Posted by **math is pointless** on Wednesday, October 7, 2009 at 6:50pm.

for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse.

g(x)=-6x+5

please explain how you got the answer

- algebra 2 -
**jim**, Wednesday, October 7, 2009 at 7:38pm
An inverse just undoes what the original function did, so you can get it by doing the opposite of what the original functtion did, in reverse order.

g(x) tells you: multiply by -6, then add 5.

Its inverse will tell you: subtract 5, then divide by -6.

Example: g(2) = 2*-6 + 5 = -7.

Inverse (call it h()):

h(-7) = (-7-5)/-6 = 2

so h(x) is going to look like (x-5)/-6.

Composition means finding h(g(x)); in other words write out g(x) in full instead of x and then apply h(x) to it, and if we're right, the whole mess should come back to be equal to x, where we started.

g(x)=-6x+5

h(g(x)) = ((-6x+5)-5)/-6

Does that get back to plain old x?

## Answer this Question

## Related Questions

- algebra 2 - for each function, find an equasion for the inverse. then use ...
- algebra 2 - for each function, find an equasion for the inverse. then use ...
- Algebra - I have to find the inverse function of f(x)=3-4x. I got y=3-x/4 for ...
- 4th grade - (math) find a rule. writhe the rule as an equasion. use the equasion...
- math - The cost of producing q articles is given by the function C=f(q)=100+2q...
- Maths B - (a) What is the inverse of the function y = 3x2 ? (b) On the same set ...
- algebra - 1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). ...
- Algebra - Myra uses an inverse variation function to model the data for the ...
- College Algebra - Find the inverse of the function below. Graph the function ...
- Calculus - F(x) = 1-x and g(x) = 1/x These functions have the property that f = ...

More Related Questions