3 years ago

Let g(x)=2x and h(x)=x^2+4. evaluate (h o g)(-2)

Mathematics

1 answer:

Kamila [148]3 years ago

3 0

G(-2) = 2*-2 = -4

(h o g)(-2) = (-4)^2 + 4 = 20 answer

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steven can type 160 words in 2 minutes and 30 seconds at this rate, how many words can he type in 4 minutes?

Gnom [1K]

Answer:

hello : 256 words

Step-by-step explanation:

2 minutes and 30 = (2×60)+30=150seconds

4 minutes = 4 ×60 = 240 seconds

150seconds →160 words

240 seconds → x ?

x = (160×240) / 150 = 38400/150= 256 words

6 0

2 years ago

How do i solve this question

frozen [14]

$\bf \begin{cases}
h(x)=(f\circ g)(x)\\
h(x)=\sqrt{x+5}\\
f(x)=\sqrt{x+2}
\end{cases}\\\\
-------------------------------\\\\
(f\circ g)(x)\implies f[\ g(x)\ ]\implies f[\ g(x)\ ]=\sqrt{g(x)+2}\qquad thus
\\\\\\
\sqrt{g(x)+2}=(f\circ g)(x)=h(x)=\sqrt{x+5}\qquad therefore
\\\\\\
\sqrt{g(x)+2}=\sqrt{x+5}\impliedby \textit{squaring both sides}\\\\\\
g(x)+2=x+5\implies g(x)=x+5-2\implies \boxed{g(x)=x+3}$