Mathematics, 02.01.2021 07:20 Morehollie7229

If f(x)=1/3x+7 and g(x)=-2x-5, find f(g(-7))

Please help.

Answers: 3

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Answer from: kira3039

f(g(-7))=10

Step-by-step explanation:

We have the two functions:

$\displaystyle f(x)=\frac{1}{3}x+7\text{ and } g(x)=-2x-5$

And we want to find:

f(g(-7))

So, we will first find g(-7). We know that:

g(x)=-2x-5

Then by substitution:

g(-7)=-2(-7)-5

Evaluate. Multiply:

g(-7)=14-5=9

Therefore, we can rewrite our expression as:

f(g(-7))=f(9)

Since we know that:

$\displaystyle f(x)=\frac{1}{3}x+7$

By substitution:

$\displaystyle f(9)=\frac{1}{3}(9)+7$

Evaluate:

f(9)=3+7=10

Therefore:

f(g(-7))=10

Answer from: lalalaaldgydyhg8823

$\boxed {\boxed {\sf f(g(-7))= 10}}$

Step-by-step explanation:

We are asked to find f(g(-7)) given these 2 functions:

$f(x)=\frac{1}{3}x+7$ g(x)= -2x-5

We must work from the inside out, so first find g(-7).

1. g(-7)

The function for g is:

g(x)= -2x-5

Since we want to find g(-7), plug -7 in for x.

g(-7)= -2(-7)-5

Solve according the PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply -2 and -7.

g(-7)=14-5

Subtract 5 from 14.

g(-7)=9

2. f(9)

Refer back to the original problem: f(g(-7))

Since we found that g(-7) is 9, we can substitute 9 in: f(9)

The function for f is:

$f(x)= \frac{1}{3} x+7$

Plug 9 in for x.

$f(9)=\frac{1}{3}(9)+7$

Solve according to PEMDAS and multiply 1/3 and 9.

f(9)=3+7

Add 3 and 7.

f(9)=10

f(g(-7) is equal to 10

Answer from: Quest

step-by-step explanation:

Answer from: Quest

see below

step-by-step explanation:

7. there are 10 data points in the set. the middle point is between 5 and 6. the middle point in the top half is 8 and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term point 8 = 100 point 3 = 88

iqr = 100-88 = 12

final point 8 = 93 point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6. b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical . there is an outlier for the males that skews the data

5. the iqr is a better measure of spread for the movies and basketball games. since the basketball game has an outlier, we do not want to use standard deviation for measurement.

3. the exam median is much higher than the class median. the median line is farther to the right on the exams

2. there is no way to tell what the means are from the box and whisker plots.

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If f(x)=1/3x+7 and g(x)=-2x-5, find f(g(-7))

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