Which represents the inverse of the function f(x) = 4x? h(x)=x+4
h(x)=x-4
h(x)=3/4x
h(x)=1/4x

fourth option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 4x ( divide both sides by 4 )

= x

Change y back into terms of x with x as the inverse function, thus

h(x) = = x

h(x)=1/4x

Step-by-step explanation:

To find the inverse of a function, switch the "x" and the "y". The f(x) can be considered as "y".

We want to isolate y. 4 and y are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 4.

x/4 can be rewritten as 1/4x.

The inverse of the function f(x)=4x is h(x)=1/4x

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!