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

Answer:

$g(5)=17$

$f(g(5))=274$

Step-by-step 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:

 $f(g(5))=(4*5-3)^{2}-(4*5-3)+2$

 $f(g(5))=274$

Answer 2

Answer:

g(5) = 17

f(g(5)) = 274

Step-by-step 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 $f ( g (5) )$:

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