If f(x) = 4x + 7, which of the following is the inverse of f(x)? o a. f-'(x) = 4x - 7 o b. f'() = *=4 c. fgx) = 7 - 4x o d. f"(x) = *z?

For this case we must find the inverse of the following function:

For it:

Replace f (x) with y:

We exchange the variables:

We solve for y:

We subtract 7 on both sides of the equation:

We divide between 4 on both sides of the equation:

Finally, we change y by:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

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