Question

Find g(5) and f(g(5))

f(x)=x^2-x+2
g(x)=4x-3

g(5)=

f(g(5))=

Answer 1

g(5) = 17

f(g(5)) = 274

Explanation:

We are given the following two functions and we are to find the value of
`g (5)` and
`f ( g (5) )`:

`f (x) = x^2 - x + 2`

`g (x) = 4x - 3`

Finding
`g (5)` by substituting the given value 5 in it:

`g (5) = 4(5) - 3 = 20 - 3 = 17`

Now finding
`f ( g (5) )`:

`f ( g (5) ) = x^2 - x + 2 = (17)^2 - (17) + 2 = 274`

Answer 2

`g(5)=17`

`f(g(5))=274`

Explanation:

1. First you must substitute x=5 into g(x), then you obtain:

`g(x)=4x-3\\`

`g(5)=4*5-3`

`g(5)=17`

2. Now, you must insert g(x) into f(x), as you can see below:

`f(x)=x^(2)-x+2`

`f(g(x))=(4x-3)^(2)-(4x-3)+2`

3. Finally, you must susbtitute x=5 into f(g(x)), as following:

`f(g(5))=(4*5-3)^(2)-(4*5-3)+2`

`f(g(5))=274`