Mathematics: Find g(5) and f(g(5)) f(x)=x^2-x+2 g(x)=4x-3 g(5)= f(g(5))=

Find g(5) and f(g(5)) f(x)=x^2-x+2 g(x)=4x-3 g(5)=

keke6361

03.01.2022

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

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davgre1271

03.01.2022

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

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sophia4636

27.04.2022

Step-by-step explanation:

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