Suppose f(x)=x2 and g(x)=x, to find fog(x)

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2022-07-24

Suppose f(x)=x2 and g(x)=x, to find fog(x)

Answer & Explanation

alenahelenash

alenahelenash

Expert2023-06-19Added 556 answers

To find the product of two functions, f(x) and g(x), we need to evaluate f(x) multiplied by g(x). In this case, we have f(x) = x^2 and g(x) = √x.
The expression f * g(x) represents the product of f(x) and g(x). Let's substitute the given functions into this expression and solve step by step using LaTeX markup:
f*g(x)=(f·g)(x)=f(x)·g(x)
Substituting f(x) = x^2 and g(x) = √x:
f*g(x)=(x2)·(x)
Now, let's simplify this expression:
f*g(x)=x2·x
To simplify the expression further, we can rewrite √x as x^(1/2):
f*g(x)=x2·x1/2
Using the exponent rule for multiplication, we can add the exponents:
f*g(x)=x2+1/2
Combining the exponents:
f*g(x)=x5/2
Thus, the product of f(x)=x2 and g(x)=x is given by f * g(x) = x5/2.

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