,

Set up the composite result function.

Evaluate by substituting in the value of into .

To write as a fraction with a common denominator, multiply by .

Combine the numerators over the common denominator.

Reorder terms.

Apply the distributive property.

Multiply by .

Add and .

Rewrite as .

Multiply by .

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Combine using the product rule for radicals.

Find g(f(x)) f(x)=1/(x^2+23) , g(x) = square root of x+100