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3 years ago

Use the functions f(x) and g(x) to answer the question f(x)=x^2-16 ; g(x) =x+4 which is equal to (f/g)(x)?

Mathematics

1 answer:

blsea [12.9K]3 years ago

3 0

(x+4)^2-16=0
x^2+4x+16-16=0
x(x+4)=0
A.x+4,x=-4

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lutik1710 [3]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

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telo118 [61]

Answer:

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Step-by-step explanation:

1. Find h(-8)

h(t) = $\frac{5}{4}(4 - t)$

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3 years ago

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2 years ago

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anastassius [24]

Solution:

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$\begin{gathered} f(x)=a\cos(bx-c)+d \\ Where \\ a\text{ is the amplitude} \\ b\text{ represents the speed of the cycle} \\ d\text{ is the vertical shift} \\ \frac{c}{b}\text{ is the phase shift \lparen horizontal shift\rparen} \\ Period=\frac{2\pi}{b} \end{gathered}$

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$\begin{gathered} Period=\frac{\pi}{2} \\ \frac{2\pi}{b}=\frac{\pi}{2} \\ Crossmultiply \\ b\times\pi=2\times2\pi \\ b=\frac{4\pi}{\pi} \\ b=4 \end{gathered}$ $\begin{gathered} a=3 \\ b=4 \\ d=-1 \\ c=0 \end{gathered}$

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$\begin{gathered} f(x)=a\cos(bx-c)+d \\ f(x)=3\cos(4x-0)-1 \\ f(x)=3\cos4x-1 \end{gathered}$

Applying a graphing tool,

The graph of one cycle of the function is shown below

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1 year ago