Given f(x) = 4x + 1 and g(x) = x^, choose the expression for (fᵒg)(x).

Mathematics

2 answers:

Galina-37 [17]1 year ago

4 0

Answer: 4x^2 + 1

Step-by-step explanation:

I am assuming g(x) = x^2

4(x^2) + 1

4x^2 + 1

frutty [35]1 year ago

3 0

Answer:

$(fog)(x)=4x^2+1$

Step-by-step explanation:

Assume $g(x)=x^2$

$(fog)(x)$ is a composition of two functions such that $(fog)(x)=f(g(x))$ .

Consider the function:

$f(x)=4x+1$

Replace $x$ with $g(x)$ into the equation:

$f(g(x))=4\cdot g(x)+1$

Substitute $g(x)=x^2$ on the right side of the equation:

$f(g(x))=4\cdot x^2+1$

Therefore, the expression for $(fog)(x)$ is $4x^2+1$ .

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3 years ago

identify an equation in point slope form for the line perpendicular to the y=-1/2x+11 that passes through (4,-8). a. y+8=1/2(x-4

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Answer:

d. y+8=2(x-4)

Step-by-step explanation:

There are 2 important parts to this question. First, understanding which slopes are perpendicular. The negative reciprocal of a number will be perpendicular to it. So, since the original slope is -1/2 the new slope should be 2.

Then, remember what the point-slope formula is. The point-slope formula is: $y-y_{2}=m(x-x_{2})$ . So if you plug in the point and slope the new equation looks like, $y--8=2(x-4)$ . Then, simplify for the final answer of $y+8=2(x-4)$ .