Given f(x)=2x^2-3 and g(x) = x+4 What is (fg)(x)?

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

4 0

Answer: $f(g(x))=2x^2+16x+29$

Step-by-step explanation:

$f(x)=2x^2-3\\g(x)=x+4$

f of g of x means "function f, replace x by the value of g of x"

$f(g(x))=2x^2-3\\f(g(x))=2(x+4)^2-3\\f(g(x))=2(x^2+8x+16)-3\\f(g(x))=2x^2+16x+32-3\\f(g(x))=2x^2+16x+29$

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3 years ago

My textbook doesn't explain square roots well. Can someone help me understand? Example 1 is the square root of 9

Vilka [71]

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7 0

3 years ago

Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has. If each loaf

motikmotik

Answer:

Approximately 4 loaves of bread.

Step-by-step explanation:

Let us get out the total amount of flour that Josh has first of all. This is $13\frac{1}{3}$ cups of flour.

Each lof requires $3\frac{4}{5}$ cups of flour. This means that to make a loaf, he will be taking out this quantity of flour from the whole lot.

To get the total number of loaves he can make with this quantity of flour, we will have to divide the total quantity of flour available by the quantity required to make a single loaf.

This will be $13\frac{1}{3}$ ÷ $3\frac{4}{5}$ = $3\frac{29}{57}$ . This is approximately 4 loaves of bread