Keith used the following steps to find the inverse of f, but he thinks he made an error. Step 1 given Step 2 change f(x) to y Step 3 switch x and y Step 4 add 5 to each side Step 5 divide each side by 7 Step 6 change y to g(x) Step 7 switch sides of the equation A. In step 6, Keith should have switched x and y. B. Keith did not make any errors. C. In step 5, Keith should have multiplied each side of the equation by 7. D. In step 4, Keith should have subtracted 5 from each side.

Respuesta :

the correct answer is C



hope this helps :)

Keith should have subtracted 5 from each side so option (D) will be correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given

f(x)=7x+5

step 2 β‡’ Change f(x) to y

y=7x+5

step 3 β‡’ Exchange x for y and y for x

x=7y+5

step 4 β‡’ Β Subtract 5 on each side

x-5=7y+5-5

x-5=7y

Step 4 is not correct

step 5 β‡’ Divide by 7 on each side

(x-5)/7=y

step 6 β‡’ Change y to g(x)

(x-5)/7=g(x)

step 7 β‡’ switches sides of the equation

g(x)=(x-5)/7

so,

In step 4 Keith should have subtracted 5 from each side

For more about the function

brainly.com/question/23712366

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