Suppose that the dunctions q and r are defined as follows.

Find the following.

Brennan Flores
2021-01-05
Answered

Suppose that the dunctions q and r are defined as follows.

Find the following.

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asked 2021-05-01

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number.

$f\left(x\right)={x}^{2}+\sqrt{7-x},a=4$

asked 2021-02-24

For

a)

b)

c)

d)

asked 2021-06-21

Find derivatives of the functions defined as follows.

$f\left(z\right)={(2z+{e}^{-{z}^{2}})}^{2}$

asked 2022-01-22

Let $F\left(x\right)=3x$ and $g\left(y\right)=\frac{1}{y}$ , how do you find each of the compositions and domain and range?

asked 2022-09-09

Let $S=\{1,2,3,4\}$. Let $f$ be the sets of all functions from $S$ to $S$.

Now, is this statement correct?

$\mathrm{\forall}f\in F$, $\mathrm{\exists}$$g\in F$ so that $(f\circ g)(1)=2$

This is false because suppose the only output $f(x)$ can produce is

$f(x)=3$ and $f(x)=4$

Now, there is no possibility of $(f\circ g)(1)=2$ because $2$ isn't an output of $f$.

Is that correct to say?

Now, is this statement correct?

$\mathrm{\forall}f\in F$, $\mathrm{\exists}$$g\in F$ so that $(f\circ g)(1)=2$

This is false because suppose the only output $f(x)$ can produce is

$f(x)=3$ and $f(x)=4$

Now, there is no possibility of $(f\circ g)(1)=2$ because $2$ isn't an output of $f$.

Is that correct to say?

asked 2022-01-24

Suppose that $f\left(x\right)=-4-3x$ and $g\left(x\right)=\sqrt{2}+x$ find the rule of the composite function $f\circ g$ ?

asked 2020-11-01

Given

$f\left(x\right)={x}^{2}+x+1$

h(x) = 3x + 2,

evaluate the composite function.

h(x) = 3x + 2,

evaluate the composite function.