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If $f(x)=4 x, g(x)=2 x-1,$ and $h(x)=x^{2}+1,$ find each value.$$[f \circ(h \circ g)](3)$$

104

Algebra

Chapter 7

Radical Equations and Inequalities

Section 1

Operations on Functions

Equations and Inequalities

Functions

Rational Functions

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Let's find f of each. Oh, she of three. In other words, another way to see this is f of each, uh, g of three. We're gonna club three as an input to the G function. Take that result. Put it into the h function. Take that result. They have function. So step at a time here. Work inside out to you three. Find J of 313 and four x gee function. The G function is to X minus. Once it becomes two times three minus one, that's six minus one or five. Okay, so update this now. F h g of three years five. So, h five, we're gonna take five of that in for axe into the H function. If the age function is expert close one, you got five squared plus one, which is 25 plus one or 26. So we're now at F of 26 to find after 26 people 26 in for X into the F function. The F function is four x so it's four times 26 four times 26 is 104. So that means that F h of G of three is 100 and four

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