Question

3. Given the following functions f(x) and g(x), solve f[g(7)] and select the correct answer below:

f(x) = 4x + 21

g(x) = 2x + 2

16
49
85
784

Answer 1

Hello,
f(g(x))=f(2x+2)=4(2x+2)+21=8x+29
f(g(7))=8*7+29=56+29=85

Answer 2

The value of the required function f[g(7)] is 85.

What is a function?

A function is a relation between the input and the output of a system.

Given functions are:

$f(x)= 4x + 21\\g(x)=2x+2$

Therefore, the required function:

$f(g(x))\\= 4g(x)+21\\= 4(2x+2)+21\\= 8x+8+21\\= 8x+29$

Now,

$f[g(7)]\\= 8(7)+29\\= 56+29\\= 85$

Learn more about a function here: https://brainly.com/question/12854410

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