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

79

Algebra

Chapter 7

Radical Equations and Inequalities

Section 1

Operations on Functions

Equations and Inequalities

Functions

Rational Functions

Missouri State University

Baylor University

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all right. We want to find G uh, of h of three. In other worries, g of f of h of three work inside out. So let's start with each of three. Agent three is gonna be found by plugging three into the H function for acts. And if the age functions explain plus one, it becomes three squared plus one, which is nine plus one or 10. So this is the same thing. How s G of F of 10? Next. We want to find F 10 half of tennis found by plugging tending for accent of the function. If the F function was four exits four times 10 or 40. So now we're thinking of this as G of 40 isso. Finally G of 40 can be found. My flogging 40 in for X into the G function was to X minus ones. The two times 40 minus one. That's G minus one for 79. So G of F of age of three is 79

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