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1 year ago

Evaluate the following functions for the given value. 20. g(x) = x-3/2x+1 ; -1

Mathematics

1 answer:

Fudgin [204]1 year ago

4 0

The value of the function g(x) = x -3/2x + 1 for x = -1 is g(-1) = 4

<h3>How to evaluate the functions for the given value?</h3>

The function is given as:

g(x) = x -3/2x + 1

The value is given as:

x = -1

Substitute the known values in the above equation

i.e. we substitute the -1 for x in the above equation

So, we have:

g(-1) = -1 -3/2(-1) + 1

Expand the bracket

g(-1) = -1 -3/-2 + 1

Evaluate the sum and the difference

g(-1) = -4/-1

Evaluate the quotient

g(-1) = 4

Hence, the value of the function g(x) = x -3/2x + 1 for x = -1 is g(-1) = 4

So, the complete parameters are:

g(x) = x -3/2x + 1

x = -1

g(-1) = 4

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Step-by-step explanation:

To verify the identity:

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we will follow the steps below;

We will take just the left-hand side and work it out to see if it is equal to the right-hand side

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That is;

$\frac{sinx}{1-cos x}$ = $\frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}$

open the parenthesis on the right-hand side of the equation at the numerator and the denominator

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But 1- cos²x = sin²x

Hence we will replace 1- cos²x by sin²x

$\frac{sinx}{1-cos x}$ = $\frac{sinx(1+cosx)}{(1-cosx)(1+cosx)}$ = $\frac{sinx + sinx cosx}{1-cos^{2}x }$ = $\frac{sinx+sinxcosx}{sin^{2}x }$

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Note that;

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3 years ago

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Anettt [7]

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3 years ago

Help? Anything can help I’m in a rush

devlian [24]

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2 years ago

Read 2 more answers

HELP PLS NEED THIS IN 5 MIN

swat32

Answer:

0.25

Step-by-step explanation:

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2 years ago

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