Evaluate the function at the given value of the independent variable and simplify.
Problem 1 :
When f(x) = x2 - 5 evaluate f(x - 4)
Solution:
f(x) = x2 - 5
f(x - 4) = (x - 4)2 - 5
= x2 + 16 - 8x - 5
f(x - 4) = x2 - 8x + 11
Evaluate each function.
Problem 2 :
When p(a) = -4a - 2; Find p(2a)
Solution:
p(a) = -4a - 2
p(2a) = -4(2a) - 2
= -8a - 2
Problem 3 :
When f(x) = 2x - 4; Find f(x + 3)
Solution:
f(x) = 2x - 4
f(x + 3) = 2(x + 3) - 4
= 2x + 6 - 4
f(x + 3) = 2x + 2
Problem 4 :
When h(n) = 2n - 4; Find h(1 + n)
Solution:
h(n) = 2n - 4
h(1 + n) = 2(1 + n) - 4
= 2 + 2n - 4
h(1 + n) = 2n - 2
Problem 5 :
When f(x) = 4x - 5; Find f(2 + x)
Solution:
f(x) = 4x - 5
f(2 + x) = 4(2 + x) - 5
= 8 + 4x - 5
f(2 + x) = 4x + 3
Problem 6 :
When g(x) = 3x - 2; Find g(2x)
Solution:
g(x) = 3x - 2
g(2x) = 3(2x) - 2
= 6x - 2
Problem 7 :
When h(n) = n + 1; Find h(n + 2)
Solution:
h(n) = n + 1
h(n + 2) = (n + 2) + 1
= n + 3
Problem 8 :
When f(x) = 4x + 4; Find f(3x)
Solution:
f(x) = 4x + 4
f(3x) = 4(3x) + 4
= 12x + 4
Problem 9 :
When f(x) = -x - 1; Find f(x2)
Solution:
f(x) = -x - 1
f(x2) = -(x2) - 1
= -x2 - 1
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM