Can you explain to me how exponents work?

You can't combine exponents when the bases aren't the same.

  "x" is where the base is

For example:

    (the bases are x and y)

When an exponent is multiplied directly to another exponent, you multiply the exponents together.

For example:

 You can look at it like this:  

When a variable with an exponent is multiplied by a variable with an exponent, you add the exponents together.

For example:

When an exponent is divided by an exponent, you subtract the exponents.

For example:

When an exponent is negative, you move the number and its exponent to the other side of the fraction to make the exponent positive.

For example:

or

or

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.