Consider functions fand g.
1 answer:
The value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = -x³
Plug x = 4 in the f(x)
f(4) = -4³ = -64
Plug the above value in the g(x)
g(f(4)) = |-8-1| = |-9| = 9
Thus, the value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.
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<h2>Answer</h2>
2
<h2>Explanation</h2>First, we are going to use the law of fractional exponents:
We can infer form our expression that and
, so let's replace the values:
Notice that we can also decompose 16 into prime factors to get , so we can rewrite our expression as follows:
Finally, we can use the rule of radicals: , so: