# Given ƒ(x) = 2×2 − 8, g(x) = x2 + 5x + 6, and h(x) = 2x + 4 find…

Given ƒ(x) = 2×2 − 8, g(x) = x2 + 5x + 6, and h(x) = 2x + 4 find each function. *Acceptable format: An algebraic expressions like x^2+5x+3, without spaces. Put polynomials in standard form, i.e. x^4+3x^3+2x^2+x+1. (ƒ + g)(x) = (ƒ − g)(x) = (ƒ + h)(x) = (g − h)(x) = (ƒg)(x) = (ƒg)(x) = (hƒ)(x) = (gh)(x) = (gh)(x) =

Given ƒ(*x*) = 2√*x* + 3 and *g*(*x*) = −3*x* + 1 find each value.

*Acceptable format:

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*integer*like 5.

ƒ(*g*(1)) =

*g*(ƒ(1)) =

ƒ(*g*(−4)) =

*g*(ƒ(6)) =

ƒ(*g*(43)) =

*g*(ƒ(97)) =

Given ƒ(*x*) = 4*x* + 3, *g*(*x*) = *x**x* + 3 and *h*(*x*) = −*x*^{2} − 2 find each composite function.

*Acceptable format:

- An
*algebraic expressions*like x^2+5x+3, without spaces. - Put polynomials in
*standard form*, i.e. x^4+3x^3+2x^2+x+1.

ƒ(*g*(*x*)) =

*g*(ƒ(*x*)) =

ƒ(*h*(x)) =

The cost of carpeting a room is $4 per square yard plus $100. Each square yard is equal to 9 square feet.

*Acceptable format:

- Write the function for the cost of carpeting a room with
*y*square yards: C(*y*) = - Write the function to convert
*s*square feet to square yards: Y(*s*) = - Compose the functions to create a function to represent the cost of carpeting a room of
*s*square feet: C(Y(s)) = - Find the square footage of a room that costs $380 to carpet: square feet.

Mathematics homework help