Question

Select the correct answer. consider these functions: f(x) = 5×2 2 g(x) = x2 – 1 what is the value of g(f(-1))? a. 2 b. 8 c. 22 d. 48

1. The correct option is D. 48.
The value of the composite function g(f(-1)) is 48.

### What is composite function?

The process of integrating two or so more functions to create a single function is known as function composition. A function represents a piece of labor.
• Let x represent the flour, and let the food processor perform the task of making the dough by using flour (and define this function be g(x)), and the oven do the function of baking the bread (and make this function be f(x).
• To make bread, enter the output of g(x) into function f(x) (i.e.,  prepared dough is to be placed in the oven).
• The result, indicated by f(g(x)), is a combination of the functions f(x) and g. (x).
Now, according to the question, the given functions are-
f(x) = 5x² + 2 and g(x) = x² – 1
First, we must determine f(-1). Consider the f(x) expression and substitute -1 for x.
f(x) = 5x² + 2
f(-1) = 5(-1)² + 2
f(-1) = 5(1) + 2
f(-1) = 5 + 2
f(-1) = 7
We now know that f(-1) equals 7, hence g(f(-1)) is like g. (7). We’ll use the g(x) equation now, substituting 7 for x.
g(x) = x² – 1
g(7) = 7² – 1
g(7) = 49 – 1
g(7) = 48
Therefore, the result for the composite function g(f(-1)) is 48.
To know more about the composite function, here
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The correct question is-
Consider these functions: f(x) = 5x² + 2 g(x) = x² – 1 What is the value of g(f(-1))? A. 2 B. 8 C. 22 D. 48