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2. Given that f(x)=5x-3 and g(x)= x^2 -2, find the following... a) f(-3) b) g(4) c) f(3)•g(3)

User Paul Okeke
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1 Answer

10 votes
10 votes

Question:

Solution:

Consider the following functions:


f(x)=\text{ 5x-3}

and


g(x)=x^2-2

a) f(-3):

if we evaluate the function f at x = -3, we get:


f(-3)=\text{ 5(-3)-3}=\text{ -15-3= -18}

so that, the correct answer is:


f(-3)=\text{ -18}

b) g(4):

if we evaluate the function g at x = 4, we get:


g(4)=4^2-2=\text{ 16-2= 14}

so that, the correct answer is:


g(4)=\text{ 14}

c) f(3)*g(3):

Step 1: evaluate f at x = 3:


f(3)=\text{ 5(3)-3}=\text{ 15-3 = 12}

Step 2: evaluate g at x = 3:


g(3)=3^2-2=\text{ 9-2= 7}

Step 3: multiply f(3) and g(3):


f(3)g(3)=\text{ (12)(7)=84}

so that, we can conclude that the correct answer is:


f(3)g(3)=\text{84}

2. Given that f(x)=5x-3 and g(x)= x^2 -2, find the following... a) f(-3) b) g(4) c-example-1
User Cannon
by
2.8k points
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