Question

Consider functions f and g.

What is the value of ?

The words don't actually matter, it is the picture that has the question.

Answer 1

Answer:

we get $\mathbf{(g \ o \ f)(4)=9}$

Option C is correct.

Step-by-step explanation:

We are given:

$f(x)=-x^3\\g(x)= |\frac{1}{8}x-1|$

We need to find (g о f)(4)

For finding (g о f)(4) we will first find g(f(x)) i.e putting value of f(x) inside g(x) and then put x=4

$(g \ o \ f)(x)=g(f(x))\\(g \ o \ f)(x)=|\frac{1}{8}(-x^3)-1 |$

Now, putting x=4

$(g \ o \ f)(x)=|\frac{1}{8}(-x^3)-1 |\\Put \ x=4\\(g \ o \ f)(4)=|\frac{1}{8}(-(4)^3)-1 |\\(g \ o \ f)(4)=|\frac{1}{8}(-64)-1 |\\(g \ o \ f)(4)=|-8-1 |\\(g \ o \ f)(4)=|-9| \\\\We \ will \ use \ absolute \ value \ i.e \ 9 \\(g \ o \ f)(4)=9$

So, we get $\mathbf{(g \ o \ f)(4)=9}$

Option C is correct

Answer 2

Answer:

c is correct answer

just use formula