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If f(x)=4x-2 and g(x)=-8x+7, find h(x)=f(x) - g(x)

Please help and explain.
Thank you. :)

Sagot :

xKelvin

Answer:

[tex]h(x)=12x-9[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=4x-2\text{ and } g(x)=-8x+7[/tex]

And we want to find:

[tex]h(x)=f(x)-g(x)[/tex]

So, by substitution:

[tex]h(x)=(4x-2)-(-8x+7)[/tex]

Simplify. Distribute:

[tex]h(x)=(4x-2)+(8x-7)[/tex]

Rearrange:

[tex]h(x)=(4x+8x)+(-2-7)[/tex]

Combine like terms. Hence:

[tex]h(x)=12x-9[/tex]

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