Question

Find the error(s) and solve the problem correctly.

solve for g(f(0) if f(x) =3x-7/4 g(x)= 2x-1

answer: g(f(0) = 3(2x-1)-7/4 = 6x-1-7/4 =6x-8/4 = 6(0)-8/4 = -2

Answer 1

the composition of functions gives:

g(f(0)) = -6

How to solve the composition of functions?

Here we have the two functions:

f(x) = 3(x - 7)/4

g(x) = 2x  - 1

The problem in the answer is in the third step, where the distribution is done incorrectly.

g(f(x)) = 3*( (2x - 1) - 7)/4

g(f(x)) = 3*( 2x - 8)/4

g(f(x)) = ( 6x - 24)/4

Evaluating in x = 0 we get:

g(f(0)) = ( 6*0 - 24)/4 = -24/4 = -6

That is the solution of the composition of functions.

If you want to learn more about composition of functions:

https://brainly.com/question/10687170

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